Bunk, Severin Homotopy sheaves on generalised spaces. (English) Zbl 07785145 Appl. Categ. Struct. 31, No. 6, Paper No. 49, 57 p. (2023). MSC: 18-XX PDFBibTeX XMLCite \textit{S. Bunk}, Appl. Categ. Struct. 31, No. 6, Paper No. 49, 57 p. (2023; Zbl 07785145) Full Text: DOI arXiv OA License
Arkhipov, Sergey; Ørsted, Sebastian Homotopy (co)limits via homotopy (co)ends in general combinatorial model categories. (English) Zbl 07785143 Appl. Categ. Struct. 31, No. 6, Paper No. 47, 10 p. (2023). MSC: 18G55 18D99 55U35 18G30 PDFBibTeX XMLCite \textit{S. Arkhipov} and \textit{S. Ørsted}, Appl. Categ. Struct. 31, No. 6, Paper No. 47, 10 p. (2023; Zbl 07785143) Full Text: DOI arXiv
Carranza, Daniel; Kapulkin, Krzysztof; Kim, Jinho Nonexistence of colimits in naive discrete homotopy theory. (English) Zbl 1522.05183 Appl. Categ. Struct. 31, No. 5, Paper No. 41, 6 p. (2023). MSC: 05C25 05C10 55U35 18N60 18N50 PDFBibTeX XMLCite \textit{D. Carranza} et al., Appl. Categ. Struct. 31, No. 5, Paper No. 41, 6 p. (2023; Zbl 1522.05183) Full Text: DOI arXiv
Monjon, Olivia; Scherer, Jérôme; Sterck, Florence Admissibility of localizations of crossed modules. (English) Zbl 1522.18025 Appl. Categ. Struct. 31, No. 5, Paper No. 37, 23 p. (2023). MSC: 18G45 55P60 18E50 55R70 18E13 PDFBibTeX XMLCite \textit{O. Monjon} et al., Appl. Categ. Struct. 31, No. 5, Paper No. 37, 23 p. (2023; Zbl 1522.18025) Full Text: DOI arXiv OA License
Chen, R.; Kriz, I.; Pultr, A. Rings and modules in Kan spectra. (English) Zbl 1518.55011 Appl. Categ. Struct. 31, No. 2, Paper No. 18, 33 p. (2023). Reviewer: Geoffrey Powell (Angers) MSC: 55P42 18F20 13D07 PDFBibTeX XMLCite \textit{R. Chen} et al., Appl. Categ. Struct. 31, No. 2, Paper No. 18, 33 p. (2023; Zbl 1518.55011) Full Text: DOI
Haderi, Redi A simplicial category for higher correspondences. (English) Zbl 1511.18029 Appl. Categ. Struct. 31, No. 1, Paper No. 4, 30 p. (2023). MSC: 18N50 55U35 PDFBibTeX XMLCite \textit{R. Haderi}, Appl. Categ. Struct. 31, No. 1, Paper No. 4, 30 p. (2023; Zbl 1511.18029) Full Text: DOI arXiv
Hartmann, Elisa A pullback diagram in the coarse category. (English) Zbl 1504.18004 Appl. Categ. Struct. 31, No. 1, Paper No. 3, 20 p. (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18A30 18A35 53C23 51F30 PDFBibTeX XMLCite \textit{E. Hartmann}, Appl. Categ. Struct. 31, No. 1, Paper No. 3, 20 p. (2023; Zbl 1504.18004) Full Text: DOI arXiv
Menni, Matías Maps with discrete fibers and the origin of basepoints. (English) Zbl 1507.18006 Appl. Categ. Struct. 30, No. 5, 991-1015 (2022). MSC: 18B25 18F99 55U35 PDFBibTeX XMLCite \textit{M. Menni}, Appl. Categ. Struct. 30, No. 5, 991--1015 (2022; Zbl 1507.18006) Full Text: DOI
Modoi, George Ciprian Weight structures cogenerated by weak cocompact objects. (English) Zbl 1505.18021 Appl. Categ. Struct. 30, No. 5, 921-936 (2022). Reviewer: Philippe Gaucher (Paris) MSC: 18G80 16D90 55U35 PDFBibTeX XMLCite \textit{G. C. Modoi}, Appl. Categ. Struct. 30, No. 5, 921--936 (2022; Zbl 1505.18021) Full Text: DOI arXiv
Ducoulombier, Julien; Fresse, Benoit; Turchin, Victor Projective and Reedy model category structures for (infinitesimal) bimodules over an operad. (English) Zbl 1505.18026 Appl. Categ. Struct. 30, No. 5, 825-920 (2022). MSC: 18M60 18N40 PDFBibTeX XMLCite \textit{J. Ducoulombier} et al., Appl. Categ. Struct. 30, No. 5, 825--920 (2022; Zbl 1505.18026) Full Text: DOI arXiv
Henry, Simon; Mimram, Samuel Tietze equivalences as weak equivalences. (English) Zbl 1495.18028 Appl. Categ. Struct. 30, No. 3, 453-483 (2022). Reviewer: Philippe Gaucher (Paris) MSC: 18N40 20M05 55U35 18C35 PDFBibTeX XMLCite \textit{S. Henry} and \textit{S. Mimram}, Appl. Categ. Struct. 30, No. 3, 453--483 (2022; Zbl 1495.18028) Full Text: DOI arXiv
Rovelli, Martina Weighted limits in an \((\infty, 1)\)-category. (English) Zbl 1481.18030 Appl. Categ. Struct. 29, No. 6, 1019-1062 (2021). Reviewer: Philippe Gaucher (Paris) MSC: 18N60 55U35 55U10 55U40 18D20 PDFBibTeX XMLCite \textit{M. Rovelli}, Appl. Categ. Struct. 29, No. 6, 1019--1062 (2021; Zbl 1481.18030) Full Text: DOI arXiv
Bacard, Hugo Functorial factorizations in the category of model categories. (English) Zbl 1480.18002 Appl. Categ. Struct. 29, No. 5, 849-877 (2021). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18A25 18A40 18N40 18N55 18M60 PDFBibTeX XMLCite \textit{H. Bacard}, Appl. Categ. Struct. 29, No. 5, 849--877 (2021; Zbl 1480.18002) Full Text: DOI
Avcıoğlu, Osman Homotopies of crossed modules of \(R\)-algebroids. (English) Zbl 1477.18017 Appl. Categ. Struct. 29, No. 5, 827-847 (2021). Reviewer: Philippe Malbos (Lyon) MSC: 18E05 18G45 18N10 20L05 55P99 PDFBibTeX XMLCite \textit{O. Avcıoğlu}, Appl. Categ. Struct. 29, No. 5, 827--847 (2021; Zbl 1477.18017) Full Text: DOI
Chuang, Joseph; Holstein, Julian; Lazarev, Andrey Maurer-Cartan moduli and theorems of Riemann-Hilbert type. (English) Zbl 1487.18009 Appl. Categ. Struct. 29, No. 4, 685-728 (2021). Reviewer: Donald Yau (Newark) MSC: 18F99 18G80 55U35 PDFBibTeX XMLCite \textit{J. Chuang} et al., Appl. Categ. Struct. 29, No. 4, 685--728 (2021; Zbl 1487.18009) Full Text: DOI arXiv
Goyal, Shuchita; Santhanam, Rekha (Lack of) model structures on the category of graphs. (English) Zbl 1471.05026 Appl. Categ. Struct. 29, No. 4, 671-683 (2021). MSC: 05C10 05C15 55P99 18N45 PDFBibTeX XMLCite \textit{S. Goyal} and \textit{R. Santhanam}, Appl. Categ. Struct. 29, No. 4, 671--683 (2021; Zbl 1471.05026) Full Text: DOI arXiv
Dan-Cohen, Ishai; Schlank, Tomer Morphisms of rational motivic homotopy types. (English) Zbl 1483.18015 Appl. Categ. Struct. 29, No. 2, 311-347 (2021). MSC: 18F25 14F35 18N55 55P62 14C15 14F42 PDFBibTeX XMLCite \textit{I. Dan-Cohen} and \textit{T. Schlank}, Appl. Categ. Struct. 29, No. 2, 311--347 (2021; Zbl 1483.18015) Full Text: DOI arXiv
Eshraghi, Hossein; Hajizamani, Ali The homotopy category of cotorsion flat modules. (English) Zbl 1467.18027 Appl. Categ. Struct. 29, No. 2, 213-233 (2021). Reviewer: Philippe Gaucher (Paris) MSC: 18G80 55U35 18G35 18G20 16E05 PDFBibTeX XMLCite \textit{H. Eshraghi} and \textit{A. Hajizamani}, Appl. Categ. Struct. 29, No. 2, 213--233 (2021; Zbl 1467.18027) Full Text: DOI
Riehl, Emily; Verity, Dominic Recognizing quasi-categorical limits and colimits in homotopy coherent nerves. (English) Zbl 1456.18003 Appl. Categ. Struct. 28, No. 4, 669-716 (2020). Reviewer: Philippe Gaucher (Paris) MSC: 18A30 18G99 55U35 55U40 18A05 55U10 PDFBibTeX XMLCite \textit{E. Riehl} and \textit{D. Verity}, Appl. Categ. Struct. 28, No. 4, 669--716 (2020; Zbl 1456.18003) Full Text: DOI arXiv
Chiarellotto, Bruno; Mazzari, Nicola Extensions of filtered Ogus structures. (English) Zbl 1439.14079 Appl. Categ. Struct. 28, No. 1, 143-148 (2020). MSC: 14F42 13D09 14F30 PDFBibTeX XMLCite \textit{B. Chiarellotto} and \textit{N. Mazzari}, Appl. Categ. Struct. 28, No. 1, 143--148 (2020; Zbl 1439.14079) Full Text: DOI arXiv
Ghazel, Moncef; Kadhi, Fethi Reedy diagrams in V-model categories. (English) Zbl 1429.55019 Appl. Categ. Struct. 27, No. 5, 549-566 (2019). Reviewer: Malte Lackmann (Bonn) MSC: 55U35 18M05 19D23 18D15 PDFBibTeX XMLCite \textit{M. Ghazel} and \textit{F. Kadhi}, Appl. Categ. Struct. 27, No. 5, 549--566 (2019; Zbl 1429.55019) Full Text: DOI arXiv
Nuiten, Joost Homotopical algebra for Lie algebroids. (English) Zbl 1430.18020 Appl. Categ. Struct. 27, No. 5, 493-534 (2019). Reviewer: José Manuel Casas Mirás (Pontevedra) MSC: 18N40 18G35 55U15 55U35 PDFBibTeX XMLCite \textit{J. Nuiten}, Appl. Categ. Struct. 27, No. 5, 493--534 (2019; Zbl 1430.18020) Full Text: DOI arXiv
López Franco, Ignacio Cofibrantly generated lax orthogonal factorisation systems. (English) Zbl 1428.18010 Appl. Categ. Struct. 27, No. 5, 463-492 (2019). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18D65 18A32 55U35 18D20 PDFBibTeX XMLCite \textit{I. López Franco}, Appl. Categ. Struct. 27, No. 5, 463--492 (2019; Zbl 1428.18010) Full Text: DOI arXiv
White, David; Yau, Donald Homotopical adjoint lifting theorem. (English) Zbl 1428.18034 Appl. Categ. Struct. 27, No. 4, 385-426 (2019). MSC: 18M60 55U35 18M70 55P48 PDFBibTeX XMLCite \textit{D. White} and \textit{D. Yau}, Appl. Categ. Struct. 27, No. 4, 385--426 (2019; Zbl 1428.18034) Full Text: DOI arXiv
Bordg, Anthony On a model invariance problem in homotopy type theory. (English) Zbl 1428.18043 Appl. Categ. Struct. 27, No. 3, 311-322 (2019). MSC: 18N45 03B38 03G30 55U35 18N40 PDFBibTeX XMLCite \textit{A. Bordg}, Appl. Categ. Struct. 27, No. 3, 311--322 (2019; Zbl 1428.18043) Full Text: DOI arXiv
Tanaka, Kohei Strong homotopy types of acyclic categories and \(\varDelta\)-complexes. (English) Zbl 1506.57013 Appl. Categ. Struct. 27, No. 3, 245-260 (2019). MSC: 57Q10 18G35 55U35 06A07 PDFBibTeX XMLCite \textit{K. Tanaka}, Appl. Categ. Struct. 27, No. 3, 245--260 (2019; Zbl 1506.57013) Full Text: DOI arXiv
Ziemiański, Krzysztof Stable components of directed spaces. (English) Zbl 1428.18008 Appl. Categ. Struct. 27, No. 3, 217-244 (2019). Reviewer: Jiří Rosický (Brno) MSC: 18B35 18D20 55U40 PDFBibTeX XMLCite \textit{K. Ziemiański}, Appl. Categ. Struct. 27, No. 3, 217--244 (2019; Zbl 1428.18008) Full Text: DOI arXiv
Berger, Clemens; Ratkovic, Kruna Gabriel-Morita theory for excisive model categories. (English) Zbl 1428.18041 Appl. Categ. Struct. 27, No. 1, 23-54 (2019). Reviewer: Najib Idrissi (Paris) MSC: 18N40 18C15 18D25 55P42 PDFBibTeX XMLCite \textit{C. Berger} and \textit{K. Ratkovic}, Appl. Categ. Struct. 27, No. 1, 23--54 (2019; Zbl 1428.18041) Full Text: DOI arXiv
Balchin, Scott; Garner, Richard Bousfield localisation and colocalisation of one-dimensional model structures. (English) Zbl 1416.55004 Appl. Categ. Struct. 27, No. 1, 1-21 (2019). Reviewer: Miguel Ottina (Mendoza) MSC: 55U35 18A40 PDFBibTeX XMLCite \textit{S. Balchin} and \textit{R. Garner}, Appl. Categ. Struct. 27, No. 1, 1--21 (2019; Zbl 1416.55004) Full Text: DOI arXiv
Meadows, Nicholas J. Local complete Segal spaces. (English) Zbl 1409.18017 Appl. Categ. Struct. 26, No. 6, 1265-1281 (2018). Reviewer: Martina Rovelli (Baltimore) MSC: 18G30 18F20 55U35 PDFBibTeX XMLCite \textit{N. J. Meadows}, Appl. Categ. Struct. 26, No. 6, 1265--1281 (2018; Zbl 1409.18017) Full Text: DOI arXiv
De Deken, Olivier; Lowen, Wendy Filtered \(cA_\infty\)-categories and functor categories. (English) Zbl 1409.18019 Appl. Categ. Struct. 26, No. 5, 943-996 (2018). Reviewer: Gabriella Böhm (Budapest) MSC: 18G55 18D20 16W70 57T30 55U35 16E45 PDFBibTeX XMLCite \textit{O. De Deken} and \textit{W. Lowen}, Appl. Categ. Struct. 26, No. 5, 943--996 (2018; Zbl 1409.18019) Full Text: DOI
White, David; Yau, Donald Bousfield localization and algebras over colored operads. (English) Zbl 1397.18023 Appl. Categ. Struct. 26, No. 1, 153-203 (2018). MSC: 18D50 18G55 55P48 PDFBibTeX XMLCite \textit{D. White} and \textit{D. Yau}, Appl. Categ. Struct. 26, No. 1, 153--203 (2018; Zbl 1397.18023) Full Text: DOI arXiv
Gorchinskiy, S.; Guletskiĭ, V. Positive model structures for abstract symmetric spectra. (English) Zbl 1390.18017 Appl. Categ. Struct. 26, No. 1, 29-46 (2018). Reviewer: Aurelien Djament (Villeneuve d’Ascq)) MSC: 18D10 18G55 PDFBibTeX XMLCite \textit{S. Gorchinskiy} and \textit{V. Guletskiĭ}, Appl. Categ. Struct. 26, No. 1, 29--46 (2018; Zbl 1390.18017) Full Text: DOI arXiv
Erdal, Mehmet Akif; Ünlü, Özgün Semigroup actions on sets and the Burnside ring. (English) Zbl 1409.16033 Appl. Categ. Struct. 26, No. 1, 7-28 (2018). MSC: 16W22 20M20 20M35 55U35 19A22 PDFBibTeX XMLCite \textit{M. A. Erdal} and \textit{Ö. Ünlü}, Appl. Categ. Struct. 26, No. 1, 7--28 (2018; Zbl 1409.16033) Full Text: DOI arXiv Link
Balzin, Edouard Derived sections of Grothendieck fibrations and the problems of homotopical algebra. (English) Zbl 1397.18036 Appl. Categ. Struct. 25, No. 5, 917-963 (2017). MSC: 18G55 18D50 PDFBibTeX XMLCite \textit{E. Balzin}, Appl. Categ. Struct. 25, No. 5, 917--963 (2017; Zbl 1397.18036) Full Text: DOI arXiv
Martins-Ferreira, Nelson Normalized bicategories internal to groups and more general Mal’tsev categories. (English) Zbl 1425.18001 Appl. Categ. Struct. 25, No. 6, 1137-1158 (2017). MSC: 18D05 08A02 18B40 20J15 PDFBibTeX XMLCite \textit{N. Martins-Ferreira}, Appl. Categ. Struct. 25, No. 6, 1137--1158 (2017; Zbl 1425.18001) Full Text: DOI
Gutiérrez, Javier J.; Roitzheim, Constanze Bousfield localisations along Quillen bifunctors. (English) Zbl 1387.55014 Appl. Categ. Struct. 25, No. 6, 1113-1136 (2017). Reviewer: Samuel Smith (Philadelphia) MSC: 55P42 55P60 55S45 PDFBibTeX XMLCite \textit{J. J. Gutiérrez} and \textit{C. Roitzheim}, Appl. Categ. Struct. 25, No. 6, 1113--1136 (2017; Zbl 1387.55014) Full Text: DOI arXiv Link
Lyubashenko, Volodymyr Curved homotopy coalgebras. (English) Zbl 1388.16034 Appl. Categ. Struct. 25, No. 6, 991-1036 (2017). MSC: 16T15 18D10 18D15 PDFBibTeX XMLCite \textit{V. Lyubashenko}, Appl. Categ. Struct. 25, No. 6, 991--1036 (2017; Zbl 1388.16034) Full Text: DOI arXiv
Kapulkin, Krzysztof; Szumiło, Karol Quasicategories of frames of cofibration categories. (English) Zbl 1372.55014 Appl. Categ. Struct. 25, No. 3, 323-347 (2017). Reviewer: Philippe Gaucher (Paris) MSC: 55U35 18G55 55U40 PDFBibTeX XMLCite \textit{K. Kapulkin} and \textit{K. Szumiło}, Appl. Categ. Struct. 25, No. 3, 323--347 (2017; Zbl 1372.55014) Full Text: DOI arXiv
Rosický, J. Accessible model categories. (English) Zbl 1386.18017 Appl. Categ. Struct. 25, No. 2, 187-196 (2017). Reviewer: Philippe Gaucher (Paris) MSC: 18C20 55U35 18C35 18G55 18A32 PDFBibTeX XMLCite \textit{J. Rosický}, Appl. Categ. Struct. 25, No. 2, 187--196 (2017; Zbl 1386.18017) Full Text: DOI arXiv
Dotsenko, Vladimir; Poncin, Norbert A tale of three homotopies. (English) Zbl 1375.18076 Appl. Categ. Struct. 24, No. 6, 845-873 (2016). MSC: 18G55 18D50 PDFBibTeX XMLCite \textit{V. Dotsenko} and \textit{N. Poncin}, Appl. Categ. Struct. 24, No. 6, 845--873 (2016; Zbl 1375.18076) Full Text: DOI arXiv
AlYamani, Nouf; Gilbert, N. D.; Miller, E. C. Fibrations of ordered groupoids and the factorization of ordered functors. (English) Zbl 1346.18004 Appl. Categ. Struct. 24, No. 2, 121-146 (2016). Reviewer: Peeter Normak (Tallinn) MSC: 18B40 20L05 18D15 06F99 55U35 PDFBibTeX XMLCite \textit{N. AlYamani} et al., Appl. Categ. Struct. 24, No. 2, 121--146 (2016; Zbl 1346.18004) Full Text: DOI arXiv
Carrasco, P. Nerves of trigroupoids as Duskin-Glenn’s 3-hypergroupoids. (English) Zbl 1350.18010 Appl. Categ. Struct. 23, No. 5, 673-707 (2015). MSC: 18D05 18G30 55U10 55P15 PDFBibTeX XMLCite \textit{P. Carrasco}, Appl. Categ. Struct. 23, No. 5, 673--707 (2015; Zbl 1350.18010) Full Text: DOI
Gutiérrez, Javier J. On solid and rigid monoids in monoidal categories. (English) Zbl 1320.18009 Appl. Categ. Struct. 23, No. 4, 575-589 (2015). Reviewer: Jason Polak (Montreal) MSC: 18D15 18D10 55P60 55P42 PDFBibTeX XMLCite \textit{J. J. Gutiérrez}, Appl. Categ. Struct. 23, No. 4, 575--589 (2015; Zbl 1320.18009) Full Text: DOI arXiv
Barnes, David; Roitzheim, Constanze Homological localisation of model categories. (English) Zbl 1318.55009 Appl. Categ. Struct. 23, No. 3, 487-505 (2015). Reviewer: Richard John Steiner (Glasgow) MSC: 55P42 55P60 18E30 PDFBibTeX XMLCite \textit{D. Barnes} and \textit{C. Roitzheim}, Appl. Categ. Struct. 23, No. 3, 487--505 (2015; Zbl 1318.55009) Full Text: DOI arXiv Link
Krishnan, Sanjeevi Cubical approximation for directed topology. I. (English) Zbl 1357.18002 Appl. Categ. Struct. 23, No. 2, 177-214 (2015). Reviewer: Philippe Gaucher (Paris) MSC: 18B99 55P99 PDFBibTeX XMLCite \textit{S. Krishnan}, Appl. Categ. Struct. 23, No. 2, 177--214 (2015; Zbl 1357.18002) Full Text: DOI arXiv
Rosický, J. Rigidification of algebras over essentially algebraic theories. (English) Zbl 1327.18010 Appl. Categ. Struct. 23, No. 2, 159-175 (2015). Reviewer: Philippe Gaucher (Paris) MSC: 18C10 55U35 18C35 18D20 PDFBibTeX XMLCite \textit{J. Rosický}, Appl. Categ. Struct. 23, No. 2, 159--175 (2015; Zbl 1327.18010) Full Text: DOI arXiv
Gao, Nan A smashing subcategory of the homotopy category of Gorenstein projective modules. (English) Zbl 1305.18059 Appl. Categ. Struct. 23, No. 1, 87-91 (2015). MSC: 18G25 16D40 16D90 16S40 18E30 PDFBibTeX XMLCite \textit{N. Gao}, Appl. Categ. Struct. 23, No. 1, 87--91 (2015; Zbl 1305.18059) Full Text: DOI
Garner, Richard Retraction note to: “Understanding the small object argument”. (English) Zbl 1298.55011 Appl. Categ. Struct. 22, No. 4, 683 (2014). MSC: 55U35 18C10 PDFBibTeX XMLCite \textit{R. Garner}, Appl. Categ. Struct. 22, No. 4, 683 (2014; Zbl 1298.55011) Full Text: DOI
Bourke, John A colimit decomposition for homotopy algebras in Cat. (English) Zbl 1314.18005 Appl. Categ. Struct. 22, No. 1, 13-28 (2014). Reviewer: Jiří Rosický (Brno) MSC: 18D05 55U35 PDFBibTeX XMLCite \textit{J. Bourke}, Appl. Categ. Struct. 22, No. 1, 13--28 (2014; Zbl 1314.18005) Full Text: DOI arXiv
Hardie, Keith A.; Witbooi, Peter Joseph The fibre of a pinch map in a model category. (English) Zbl 1285.55008 Appl. Categ. Struct. 21, No. 6, 867-875 (2013). Reviewer: Friedrich Wilhelm Bauer (Frankfurt am Main) MSC: 55U35 55P35 PDFBibTeX XMLCite \textit{K. A. Hardie} and \textit{P. J. Witbooi}, Appl. Categ. Struct. 21, No. 6, 867--875 (2013; Zbl 1285.55008) Full Text: DOI Link
Chirvasitu, Alex; Johnson-Freyd, Theo The fundamental pro-groupoid of an affine 2-scheme. (English) Zbl 1285.18008 Appl. Categ. Struct. 21, No. 5, 469-522 (2013). MSC: 18D05 18D10 14F35 PDFBibTeX XMLCite \textit{A. Chirvasitu} and \textit{T. Johnson-Freyd}, Appl. Categ. Struct. 21, No. 5, 469--522 (2013; Zbl 1285.18008) Full Text: DOI arXiv
Ara, Dimitri The groupoidal analogue \(\widetilde{{\Theta}}\) to Joyal’s category \(\Theta\) is a test category. (English) Zbl 1434.18009 Appl. Categ. Struct. 20, No. 6, 603-649 (2012). MSC: 18N60 18N10 18E35 18F20 18N40 55P15 55P60 55U35 55U40 PDFBibTeX XMLCite \textit{D. Ara}, Appl. Categ. Struct. 20, No. 6, 603--649 (2012; Zbl 1434.18009) Full Text: DOI arXiv
Cegarra, Antonio Martínez; Heredia, Benjamín A.; Remedios, Josué Double groupoids and homotopy 2-types. (English) Zbl 1263.18003 Appl. Categ. Struct. 20, No. 4, 323-378 (2012). Reviewer: Timothy Porter (Bangor) MSC: 18D05 55Q05 20L05 18G55 55U40 PDFBibTeX XMLCite \textit{A. M. Cegarra} et al., Appl. Categ. Struct. 20, No. 4, 323--378 (2012; Zbl 1263.18003) Full Text: DOI arXiv
Garner, Richard Understanding the small object argument. (English) Zbl 1256.55005 Appl. Categ. Struct. 20, No. 2, 103-141 (2012); retraction ibid. 22, No. 4, 683 (2014). Reviewer: J. Remedios (La Laguna) MSC: 55U35 18C10 PDFBibTeX XMLCite \textit{R. Garner}, Appl. Categ. Struct. 20, No. 2, 103--141 (2012; Zbl 1256.55005) Full Text: DOI
Stanculescu, Alexandru Emil Bifibrations and weak factorisation systems. (English) Zbl 1252.18020 Appl. Categ. Struct. 20, No. 1, 19-30 (2012). Reviewer: Julie Bergner (Riverside) MSC: 18D30 18D20 18G55 55U35 PDFBibTeX XMLCite \textit{A. E. Stanculescu}, Appl. Categ. Struct. 20, No. 1, 19--30 (2012; Zbl 1252.18020) Full Text: DOI
Olschok, Marc Left determined model structures for locally presentable categories. (English) Zbl 1251.18003 Appl. Categ. Struct. 19, No. 6, 901-938 (2011). Reviewer: Emily Riehl (Cambridge) MSC: 18C35 18G55 55U35 PDFBibTeX XMLCite \textit{M. Olschok}, Appl. Categ. Struct. 19, No. 6, 901--938 (2011; Zbl 1251.18003) Full Text: DOI arXiv
Canonaco, Alberto; Künzer, Matthias A sufficient criterion for homotopy cartesianess. (English) Zbl 1228.18008 Appl. Categ. Struct. 19, No. 3, 651-658 (2011). Reviewer: Alexander Zimmermann (Amiens) MSC: 18E30 PDFBibTeX XMLCite \textit{A. Canonaco} and \textit{M. Künzer}, Appl. Categ. Struct. 19, No. 3, 651--658 (2011; Zbl 1228.18008) Full Text: DOI arXiv
Colman, Hellen On the 1-homotopy type of Lie groupoids. (English) Zbl 1219.22001 Appl. Categ. Struct. 19, No. 1, 393-423 (2011). Reviewer: Christopher Seaton (Memphis) MSC: 22A22 18D05 55P15 57R18 PDFBibTeX XMLCite \textit{H. Colman}, Appl. Categ. Struct. 19, No. 1, 393--423 (2011; Zbl 1219.22001) Full Text: DOI arXiv
Marcum, Howard J.; Oda, Nobuyuki Long box bracket operations in homotopy theory. (English) Zbl 1227.55015 Appl. Categ. Struct. 19, No. 1, 137-173 (2011). Reviewer: Sergey Melikhov (Moskva) MSC: 55Q40 55Q35 18G55 18D05 PDFBibTeX XMLCite \textit{H. J. Marcum} and \textit{N. Oda}, Appl. Categ. Struct. 19, No. 1, 137--173 (2011; Zbl 1227.55015) Full Text: DOI
Batanin, Michael; Weber, Mark Algebras of higher operads as enriched categories. (English) Zbl 1218.18006 Appl. Categ. Struct. 19, No. 1, 93-135 (2011). Reviewer: Laura Scull (Durango) MSC: 18D50 18A05 18D20 55U35 PDFBibTeX XMLCite \textit{M. Batanin} and \textit{M. Weber}, Appl. Categ. Struct. 19, No. 1, 93--135 (2011; Zbl 1218.18006) Full Text: DOI arXiv
Hardie, K. A.; Kamps, K. H.; Witbooi, P. J. A coherent homotopy category of 2-track commutative cubes. (English) Zbl 1219.18009 Appl. Categ. Struct. 19, No. 1, 39-60 (2011). Reviewer: Jérôme Scherer (Lausanne) MSC: 18G55 18D05 18B30 55P10 55Q35 PDFBibTeX XMLCite \textit{K. A. Hardie} et al., Appl. Categ. Struct. 19, No. 1, 39--60 (2011; Zbl 1219.18009) Full Text: DOI
Beke, Tibor Fibrations of simplicial sets. (English) Zbl 1201.18010 Appl. Categ. Struct. 18, No. 5, 505-516 (2010). Reviewer: Richard John Steiner (Glasgow) MSC: 18G30 18G55 55U10 55U35 PDFBibTeX XMLCite \textit{T. Beke}, Appl. Categ. Struct. 18, No. 5, 505--516 (2010; Zbl 1201.18010) Full Text: DOI arXiv
Alp, Murat; Wensley, Christopher D. Automorphisms and homotopies of groupoids and crossed modules. (English) Zbl 1225.18008 Appl. Categ. Struct. 18, No. 5, 473-504 (2010). Reviewer: Ulrich Knauer (Oldenburg) MSC: 18D35 20L05 55U99 PDFBibTeX XMLCite \textit{M. Alp} and \textit{C. D. Wensley}, Appl. Categ. Struct. 18, No. 5, 473--504 (2010; Zbl 1225.18008) Full Text: DOI Link
García Pinillos, Mónica; Hernández Paricio, Luis Javier; Rivas Rodríguez, María Teresa Exact sequences and closed model categories. (English) Zbl 1204.55016 Appl. Categ. Struct. 18, No. 4, 343-375 (2010). Reviewer: J. Remedios (La Laguna) MSC: 55U35 55U40 55N25 55Q70 PDFBibTeX XMLCite \textit{M. García Pinillos} et al., Appl. Categ. Struct. 18, No. 4, 343--375 (2010; Zbl 1204.55016) Full Text: DOI
Rosický, J. On combinatorial model categories. (English) Zbl 1175.55013 Appl. Categ. Struct. 17, No. 3, 303-316 (2009). Reviewer: Richard John Steiner (Glasgow) MSC: 55U35 18C35 18G55 PDFBibTeX XMLCite \textit{J. Rosický}, Appl. Categ. Struct. 17, No. 3, 303--316 (2009; Zbl 1175.55013) Full Text: DOI arXiv
Del Río, A.; Hernández, L. J.; Rivas, M. T. \(S\)-types of global towers of spaces and exterior spaces. (English) Zbl 1183.55002 Appl. Categ. Struct. 17, No. 3, 287-301 (2009). Reviewer: Daniel Tanré (Villeneuve d’ Ascq) MSC: 55P57 55Q70 54A05 18G55 PDFBibTeX XMLCite \textit{A. Del Río} et al., Appl. Categ. Struct. 17, No. 3, 287--301 (2009; Zbl 1183.55002) Full Text: DOI
Garner, Richard Understanding the small object argument. (English) Zbl 1173.55009 Appl. Categ. Struct. 17, No. 3, 247-285 (2009). Reviewer: Richard John Steiner (Glasgow) MSC: 55U35 18A32 18C10 PDFBibTeX XMLCite \textit{R. Garner}, Appl. Categ. Struct. 17, No. 3, 247--285 (2009; Zbl 1173.55009) Full Text: DOI arXiv
del Hoyo, Matías L.; Minian, Elias Gabriel Classical invariants for global actions and groupoid atlases. (English) Zbl 1176.19002 Appl. Categ. Struct. 16, No. 6, 689-721 (2008). Reviewer: Jérôme Scherer (Lausanne) MSC: 19D99 20L05 18G55 55U35 PDFBibTeX XMLCite \textit{M. L. del Hoyo} and \textit{E. G. Minian}, Appl. Categ. Struct. 16, No. 6, 689--721 (2008; Zbl 1176.19002) Full Text: DOI arXiv
Brüning, Kristian; Huber, Birgit Realising smashing localisations as morphisms of DG algebras. (English) Zbl 1183.16010 Appl. Categ. Struct. 16, No. 6, 669-687 (2008). Reviewer: Saïd Zarati (Tunis) MSC: 16E45 18E30 55P60 16E40 PDFBibTeX XMLCite \textit{K. Brüning} and \textit{B. Huber}, Appl. Categ. Struct. 16, No. 6, 669--687 (2008; Zbl 1183.16010) Full Text: DOI
Baues, Hans-Joachim; Muro, Fernando Smash products for secondary homotopy groups. (English) Zbl 1156.55010 Appl. Categ. Struct. 16, No. 5, 551-616 (2008). Reviewer: Jean Claude Thomas (Angers) MSC: 55Q35 55Q15 55S45 PDFBibTeX XMLCite \textit{H.-J. Baues} and \textit{F. Muro}, Appl. Categ. Struct. 16, No. 5, 551--616 (2008; Zbl 1156.55010) Full Text: DOI arXiv
Raussen, Martin Invariants of directed spaces. (English) Zbl 1134.55009 Appl. Categ. Struct. 15, No. 4, 355-386 (2007). Reviewer: Philippe Gaucher (Paris) MSC: 55P99 18A32 55Q05 55U40 68N30 68Q85 PDFBibTeX XMLCite \textit{M. Raussen}, Appl. Categ. Struct. 15, No. 4, 355--386 (2007; Zbl 1134.55009) Full Text: DOI
Grandis, Marco Directed algebraic topology, categories and higher categories. (English) Zbl 1131.55006 Appl. Categ. Struct. 15, No. 4, 341-353 (2007). Reviewer: Philippe Gaucher (Paris) MSC: 55P99 18D05 68Q85 55U35 PDFBibTeX XMLCite \textit{M. Grandis}, Appl. Categ. Struct. 15, No. 4, 341--353 (2007; Zbl 1131.55006) Full Text: DOI
Lafont, Yves Algebra and geometry of rewriting. (English) Zbl 1132.68036 Appl. Categ. Struct. 15, No. 4, 415-437 (2007). MSC: 68Q42 16E05 16E40 16S15 18D05 18D10 18G55 20J05 20M05 PDFBibTeX XMLCite \textit{Y. Lafont}, Appl. Categ. Struct. 15, No. 4, 415--437 (2007; Zbl 1132.68036) Full Text: DOI
Goubault, E.; Haucourt, E. Components of the fundamental category. II. (English) Zbl 1131.55011 Appl. Categ. Struct. 15, No. 4, 387-414 (2007). Reviewer: Philippe Gaucher (Paris) MSC: 55U40 PDFBibTeX XMLCite \textit{E. Goubault} and \textit{E. Haucourt}, Appl. Categ. Struct. 15, No. 4, 387--414 (2007; Zbl 1131.55011) Full Text: DOI
Hébert, Michel \(\lambda\)-presentable morphisms, injectivity and (weak) factorization systems. (English) Zbl 1111.18002 Appl. Categ. Struct. 14, No. 4, 273-289 (2006). Reviewer: Michel Hébert (Cairo) MSC: 18A32 18A20 13B22 13C11 55U35 18A40 PDFBibTeX XMLCite \textit{M. Hébert}, Appl. Categ. Struct. 14, No. 4, 273--289 (2006; Zbl 1111.18002) Full Text: DOI arXiv
Grandis, Marco Absolute lax 2-categories. (English) Zbl 1103.18008 Appl. Categ. Struct. 14, No. 3, 191-214 (2006). Reviewer: Ross H. Street (North Ryde) MSC: 18D05 55P99 PDFBibTeX XMLCite \textit{M. Grandis}, Appl. Categ. Struct. 14, No. 3, 191--214 (2006; Zbl 1103.18008) Full Text: DOI
Hernández Paricio, Luis Javier Homotopy categories for simply connected torsion spaces. (English) Zbl 1105.55007 Appl. Categ. Struct. 13, No. 5-6, 421-451 (2005). Reviewer: Richard John Steiner (Glasgow) MSC: 55P60 55U35 PDFBibTeX XMLCite \textit{L. J. Hernández Paricio}, Appl. Categ. Struct. 13, No. 5--6, 421--451 (2005; Zbl 1105.55007) Full Text: DOI Link
Gaucher, Philippe Flow does not model flows up to weak dihomotopy. (English) Zbl 1115.68103 Appl. Categ. Struct. 13, No. 5-6, 371-388 (2005). Reviewer: Marek Golasiński (Toruń) MSC: 68Q85 18A32 55P99 55U35 PDFBibTeX XMLCite \textit{P. Gaucher}, Appl. Categ. Struct. 13, No. 5--6, 371--388 (2005; Zbl 1115.68103) Full Text: DOI arXiv
Lada, Tom; Markl, Martin Symmetric brace algebras. (English) Zbl 1088.55013 Appl. Categ. Struct. 13, No. 4, 351-370 (2005). Reviewer: Jean Claude Thomas (Angers) MSC: 55S20 70S15 PDFBibTeX XMLCite \textit{T. Lada} and \textit{M. Markl}, Appl. Categ. Struct. 13, No. 4, 351--370 (2005; Zbl 1088.55013) Full Text: DOI arXiv
Bullejos, M.; Faro, E.; Blanco, V. A full and faithful nerve for 2-categories. (English) Zbl 1099.18003 Appl. Categ. Struct. 13, No. 3, 223-233 (2005). Reviewer: Ross H. Street (North Ryde) MSC: 18D05 18G30 55P15 PDFBibTeX XMLCite \textit{M. Bullejos} et al., Appl. Categ. Struct. 13, No. 3, 223--233 (2005; Zbl 1099.18003) Full Text: DOI arXiv
Kurz, Alexander; Rosický, Jiří Weak factorizations, fractions and homotopies. (English) Zbl 1077.18002 Appl. Categ. Struct. 13, No. 2, 141-160 (2005). Reviewer: Simion Sorin Breaz (Cluj-Napoca) MSC: 18A32 55P10 68Q85 18G55 PDFBibTeX XMLCite \textit{A. Kurz} and \textit{J. Rosický}, Appl. Categ. Struct. 13, No. 2, 141--160 (2005; Zbl 1077.18002) Full Text: DOI Link
Carrasco, Pilar; Martínez-Moreno, Juan Simplicial cohomology with coefficients in symmetric categorical groups. (English) Zbl 1078.18009 Appl. Categ. Struct. 12, No. 3, 257-285 (2004). Reviewer: Constantin Năstăsescu (Bucureşti) MSC: 18D10 18G50 18G60 18G55 18G30 PDFBibTeX XMLCite \textit{P. Carrasco} and \textit{J. Martínez-Moreno}, Appl. Categ. Struct. 12, No. 3, 257--285 (2004; Zbl 1078.18009) Full Text: DOI
Hardie, K. A.; Kamps, K. H.; Witbooi, P. J. A 2-groupoid characterisation of the cubical homotopy pushout. (English) Zbl 1070.55008 Appl. Categ. Struct. 12, No. 3, 245-255 (2004). Reviewer: Francisco J. Diaz (La Laguna) MSC: 55Q05 18D05 18B40 18G55 PDFBibTeX XMLCite \textit{K. A. Hardie} et al., Appl. Categ. Struct. 12, No. 3, 245--255 (2004; Zbl 1070.55008) Full Text: DOI
Garcia-Calcines, J. M.; Garcia-Pinillos, M.; Hernandez-Paricio, L. J. Closed simplicial model structures for exterior and proper homotopy theory. (English) Zbl 1071.55007 Appl. Categ. Struct. 12, No. 3, 225-243 (2004). Reviewer: Bernard Badzioch (Buffalo) MSC: 55P57 55U35 18G55 PDFBibTeX XMLCite \textit{J. M. Garcia-Calcines} et al., Appl. Categ. Struct. 12, No. 3, 225--243 (2004; Zbl 1071.55007) Full Text: DOI
Fajstrup, L.; Raussen, M.; Goubault, E.; Haucourt, E. Components of the fundamental category. (English) Zbl 1078.55020 Appl. Categ. Struct. 12, No. 1, 81-108 (2004). MSC: 55U40 18A32 54F05 55Q05 68N30 68Q85 55P99 PDFBibTeX XMLCite \textit{L. Fajstrup} et al., Appl. Categ. Struct. 12, No. 1, 81--108 (2004; Zbl 1078.55020) Full Text: DOI
Brown, Ronald; Janelidze, George Galois theory and a new homotopy double groupoid of a map of spaces. (English) Zbl 1050.18005 Appl. Categ. Struct. 12, No. 1, 63-80 (2004). Reviewer: K. H. Kamps (Hagen) MSC: 18D05 20L05 55Q05 55Q35 18G55 PDFBibTeX XMLCite \textit{R. Brown} and \textit{G. Janelidze}, Appl. Categ. Struct. 12, No. 1, 63--80 (2004; Zbl 1050.18005) Full Text: DOI arXiv
Hardie, K. A.; Kamps, K. H.; Marcum, H. J.; Oda, N. Triple brackets and lax morphism categories. (English) Zbl 1042.18005 Appl. Categ. Struct. 12, No. 1, 3-27 (2004). Reviewer: Richard John Steiner (Glasgow) MSC: 18D05 55Q35 55P40 PDFBibTeX XMLCite \textit{K. A. Hardie} et al., Appl. Categ. Struct. 12, No. 1, 3--27 (2004; Zbl 1042.18005) Full Text: DOI
Bichon, Julien; Street, Ross Militaru’s \(D\)-equation in monoidal categories. (English) Zbl 1050.18006 Appl. Categ. Struct. 11, No. 4, 337-357 (2003). Reviewer: Bernhard Drabant (Stuttgart) MSC: 18D10 16W30 57N10 57M25 57T05 PDFBibTeX XMLCite \textit{J. Bichon} and \textit{R. Street}, Appl. Categ. Struct. 11, No. 4, 337--357 (2003; Zbl 1050.18006) Full Text: DOI
Minian, Elias Gabriel Loop and suspension functors for small categories and stable homotopy groups. (English) Zbl 1024.18006 Appl. Categ. Struct. 11, No. 2, 207-218 (2003). Reviewer: Viorel Mihai Gontineac (Iasi) MSC: 18G55 55U10 55U35 57Q05 55P10 55U05 PDFBibTeX XMLCite \textit{E. G. Minian}, Appl. Categ. Struct. 11, No. 2, 207--218 (2003; Zbl 1024.18006) Full Text: DOI
Brown, Ronald; İçen, İlhan Homotopies and automorphisms of crossed modules of groupoids. (English) Zbl 1029.20025 Appl. Categ. Struct. 11, No. 2, 185-206 (2003). Reviewer: Peeter Normak (Tallinn) MSC: 20L05 18D15 18D35 18G55 55U35 PDFBibTeX XMLCite \textit{R. Brown} and \textit{İ. İçen}, Appl. Categ. Struct. 11, No. 2, 185--206 (2003; Zbl 1029.20025) Full Text: DOI arXiv
Hess, Kathryn Model categories in algebraic topology. (English) Zbl 0997.55001 Appl. Categ. Struct. 10, No. 3, 195-220 (2002). MSC: 55-02 18G55 18D10 18D15 55M30 55P62 55U15 55U35 PDFBibTeX XMLCite \textit{K. Hess}, Appl. Categ. Struct. 10, No. 3, 195--220 (2002; Zbl 0997.55001) Full Text: DOI
Grandis, Marco An intrinsic homotopy theory for simplicial complexes, with applications to image analysis. (English) Zbl 0994.55011 Appl. Categ. Struct. 10, No. 2, 99-155 (2002). Reviewer: Richard John Steiner (Glasgow) MSC: 55U10 18G55 55U35 55P99 PDFBibTeX XMLCite \textit{M. Grandis}, Appl. Categ. Struct. 10, No. 2, 99--155 (2002; Zbl 0994.55011) Full Text: DOI arXiv
Golasiński, Marek Disconnected equivariant rational homotopy theory. (English) Zbl 0992.55010 Appl. Categ. Struct. 10, No. 1, 23-33 (2002). Reviewer: John F.Oprea (Cleveland) MSC: 55P62 18G30 55P91 55U35 PDFBibTeX XMLCite \textit{M. Golasiński}, Appl. Categ. Struct. 10, No. 1, 23--33 (2002; Zbl 0992.55010) Full Text: DOI
Minian, Elias Gabriel \(\Lambda\)-cofibration categories and the homotopy categories of global actions and simplicial complexes. (English) Zbl 0998.55010 Appl. Categ. Struct. 10, No. 1, 1-21 (2002). Reviewer: Manuel Ladra Gonzalez (Santiago) MSC: 55U35 55P05 55P10 PDFBibTeX XMLCite \textit{E. G. Minian}, Appl. Categ. Struct. 10, No. 1, 1--21 (2002; Zbl 0998.55010) Full Text: DOI
Cegarra, Antonio M.; Garzón, Antonio R. Homotopy classification of categorial torsors. (English) Zbl 1007.18015 Appl. Categ. Struct. 9, No. 5, 465-496 (2001). Reviewer: Marek Golasiński (Torun) MSC: 18G55 55P57 55P20 18D50 18D30 18G50 55U10 PDFBibTeX XMLCite \textit{A. M. Cegarra} and \textit{A. R. Garzón}, Appl. Categ. Struct. 9, No. 5, 465--496 (2001; Zbl 1007.18015) Full Text: DOI
Hardie, K. A.; Kamps, K. H.; Kieboom, R. W. A homotopy bigroupoid of a topological space. (English) Zbl 0987.18006 Appl. Categ. Struct. 9, No. 3, 311-327 (2001). Reviewer: T.Porter (Bangor) MSC: 18D05 55Q05 20L05 55Q35 PDFBibTeX XMLCite \textit{K. A. Hardie} et al., Appl. Categ. Struct. 9, No. 3, 311--327 (2001; Zbl 0987.18006) Full Text: DOI
Hardie, K. A.; Kamps, K. H.; Kieboom, R. W. A homotopy 2-groupoid of a Hausdorff space. (English) Zbl 0966.55010 Appl. Categ. Struct. 8, No. 1-2, 209-234 (2000). Reviewer: C.S.Hoo (Edmonton) MSC: 55Q05 18D05 20L05 PDFBibTeX XMLCite \textit{K. A. Hardie} et al., Appl. Categ. Struct. 8, No. 1--2, 209--234 (2000; Zbl 0966.55010) Full Text: DOI
Grandis, Marco; MacDonald, John Homotopy structures for algebras over a monad. (English) Zbl 0938.55029 Appl. Categ. Struct. 7, No. 3, 227-260 (1999). Reviewer: K.H.Kamps (Hagen) MSC: 55U35 18G55 18C15 18C20 55P91 PDFBibTeX XMLCite \textit{M. Grandis} and \textit{J. MacDonald}, Appl. Categ. Struct. 7, No. 3, 227--260 (1999; Zbl 0938.55029) Full Text: DOI
Grandis, Marco Categorically algebraic foundations for homotopical algebra. (English) Zbl 0906.55015 Appl. Categ. Struct. 5, No. 4, 363-413 (1997). Reviewer: K.H.Kamps (Hagen) MSC: 55U35 18D05 18G55 55P99 55R05 PDFBibTeX XMLCite \textit{M. Grandis}, Appl. Categ. Struct. 5, No. 4, 363--413 (1997; Zbl 0906.55015) Full Text: DOI