Cheng, Eugenia; Corner, Alexander S. Weak vertical composition. (English) Zbl 07902418 Theory Appl. Categ. 42, Spec. Vol. Hofstra Festschrift, 222-262 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18C15 18M05 18M15 18N10 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Bourke, John; Lack, Stephen On 2-categorical \(\infty\)-cosmoi. (English) Zbl 1537.18031 J. Pure Appl. Algebra 228, No. 9, Article ID 107661, 26 p. (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N60 18C35 18D20 18N40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ozornova, Viktoriya; Rovelli, Martina What is an equivalence in a higher category? (English) Zbl 1535.18035 Bull. Lond. Math. Soc. 56, No. 1, 1-58 (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N10 18N30 18N60 18N65 18N40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Bourke, John; Lobbia, Gabriele A skew approach to enrichment for Gray-categories. (English) Zbl 1524.18047 Adv. Math. 434, Article ID 109327, 92 p. (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M50 18N20 18M65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moser, Lyne; Sarazola, Maru; Verdugo, Paula A model structure for weakly horizontally invariant double categories. (English) Zbl 1517.18003 Algebr. Geom. Topol. 23, No. 4, 1725-1786 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18D20 18N10 18N40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Bourke, John; Lack, Stephen Accessible \(\infty \)-cosmoi. (English) Zbl 1506.18027 J. Pure Appl. Algebra 227, No. 5, Article ID 107255, 28 p. (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N60 18C35 18D20 18N40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bourke, John; Lack, Stephen; Vokřínek, Lukáš Adjoint functor theorems for homotopically enriched categories. (English) Zbl 1502.18014 Adv. Math. 412, Article ID 108812, 52 p. (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18D20 18C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gagna, Andrea; Harpaz, Yonatan; Lanari, Edoardo On the equivalence of all models for \((\infty, 2)\)-categories. (English) Zbl 1518.18020 J. Lond. Math. Soc., II. Ser. 106, No. 3, 1920-1982 (2022). Reviewer: Philippe Gaucher (Paris) MSC: 18N65 18N50 18N40 55U10 55U35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Riehl, Emily; Wattal, Mira On \(\infty\)-cosmoi of bicategories. (English) Zbl 1504.18018 Matematica 1, No. 4, 740-764 (2022). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N10 18N60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ozornova, Viktoriya; Rovelli, Martina Fundamental pushouts of \(n\)-complicial sets. (English) Zbl 1502.18050 High. Struct. 6, No. 1, 403-438 (2022). Reviewer: Marek Golasiński (Olsztyn) MSC: 18N65 18N10 18N50 55U10 55U35 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Gagna, Andrea; Harpaz, Yonatan; Lanari, Edoardo Bilimits are bifinal objects. (English) Zbl 1496.18013 J. Pure Appl. Algebra 226, No. 12, Article ID 107137, 36 p. (2022). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18D30 18D70 18N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ozornova, Viktoriya; Rovelli, Martina Nerves of 2-categories and 2-categorification of \(( \infty ,2)\)-categories. (English) Zbl 1477.18050 Adv. Math. 391, Article ID 107948, 39 p. (2021). Reviewer: Timothy Porter (Llandegfan) MSC: 18N65 55U35 18N10 18N50 55U10 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Bourke, John Accessible aspects of 2-category theory. (English) Zbl 1451.18015 J. Pure Appl. Algebra 225, No. 3, Article ID 106519, 43 p. (2021). Reviewer: Philippe Gaucher (Paris) MSC: 18C35 18N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shoikhet, Boris On the twisted tensor product of small dg categories. (English) Zbl 1477.16016 J. Noncommut. Geom. 14, No. 2, 789-820 (2020). MSC: 16E45 18N40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baues, Hans-Joachim; Frankland, Martin The DG-category of secondary cohomology operations. (English) Zbl 1460.18003 Appl. Categ. Struct. 28, No. 6, 877-905 (2020). MSC: 18D20 18N10 55S20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ara, Dimitri; Lucas, Maxime The folk model category structure on strict \(\omega\)-categories is monoidal. (English) Zbl 1443.18008 Theory Appl. Categ. 35, 745-808 (2020). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M05 18N30 18N40 55U35 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Campbell, Alexander A homotopy coherent cellular nerve for bicategories. (English) Zbl 1451.18038 Adv. Math. 368, Article ID 107138, 66 p. (2020). Reviewer: Nima Rasekh (Lausanne) MSC: 18N10 18N20 18N40 18N55 18N60 18N65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bourke, John Equipping weak equivalences with algebraic structure. (English) Zbl 1437.55027 Math. Z. 294, No. 3-4, 995-1019 (2020). Reviewer: José Calcines (La Laguna) MSC: 55U35 18C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Drummond-Cole, Gabriel C.; Hackney, Philip A criterion for existence of right-induced model structures. (English) Zbl 1422.18002 Bull. Lond. Math. Soc. 51, No. 2, 309-326 (2019). Reviewer: Luciano Stramaccia (Perugia) MSC: 18A40 18D50 55U35 18F20 55U10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Campbell, Alexander How strict is strictification? (English) Zbl 1472.18001 J. Pure Appl. Algebra 223, No. 7, 2948-2976 (2019). Reviewer: Serguei V. Solov’ev (Toulouse) MSC: 18A05 18D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gurski, Nick; Johnson, Niles; Osorno, Angélica M. \(K\)-theory for 2-categories. (English) Zbl 1394.18003 Adv. Math. 322, 378-472 (2017). Reviewer: Thomas Huettemann (Belfast) MSC: 18D05 55U35 18D10 19D23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bourke, John Skew structures in 2-category theory and homotopy theory. (English) Zbl 1417.18001 J. Homotopy Relat. Struct. 12, No. 1, 31-81 (2017). MSC: 18D10 55U35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Batanin, M. A. An operadic proof of Baez-Dolan stabilization hypothesis. (English) Zbl 1375.18048 Proc. Am. Math. Soc. 145, No. 7, 2785-2798 (2017). Reviewer: Benoît Fresse (Villeneuve d’Ascq) MSC: 18D20 55P48 18G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Batanin, M. A.; Berger, C. Homotopy theory for algebras over polynomial monads. (English) Zbl 1368.18006 Theory Appl. Categ. 32, 148-253 (2017). Reviewer: Geoffroy Horel (Bonn) MSC: 18D50 18C20 18G55 18D20 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Johnson-Freyd, Theo; Scheimbauer, Claudia (Op)lax natural transformations, twisted quantum field theories, and “even higher” Morita categories. (English) Zbl 1375.18043 Adv. Math. 307, 147-223 (2017). MSC: 18D10 81R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cegarra, A. M.; Heredia, B. A. Homotopy colimits of 2-functors. (English) Zbl 1358.18002 J. Homotopy Relat. Struct. 11, No. 4, 735-774 (2016). Reviewer: Antonio R. Garzón (Granada) MSC: 18D05 55P15 18F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gaussent, Stéphane; Guiraud, Yves; Malbos, Philippe Coherent presentations of Artin monoids. (English) Zbl 1398.20069 Compos. Math. 151, No. 5, 957-998 (2015). MSC: 20M05 18D05 20F36 68Q42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Eugenia; Gurski, Nick; Riehl, Emily Cyclic multicategories, multivariable adjunctions and mates. (English) Zbl 1326.18005 J. \(K\)-Theory 13, No. 2, 337-396 (2014). MSC: 18D10 18A32 18A40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ara, Dimitri; Maltsiniotis, Georges Towards a Thomason model structure on the category of strict \(n\)-categories. (Vers une structure de catégorie de modèles à la Thomason sur la catégorie des \(n\)-catégories strictes.) (French) Zbl 1308.18004 Adv. Math. 259, 557-654 (2014). Reviewer: Richard John Steiner (Glasgow) MSC: 18D05 18G55 55P15 55U10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gohla, Björn; Faria Martins, João Pointed homotopy and pointed lax homotopy of 2-crossed module maps. (English) Zbl 1332.18010 Adv. Math. 248, 986-1049 (2013). MSC: 18D05 55Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lack, Stephen; Rosický, Jiří Enriched weakness. (English) Zbl 1268.18004 J. Pure Appl. Algebra 216, No. 8-9, 1807-1822 (2012). Reviewer: Dexue Zhang (Chengdu) MSC: 18D20 18C35 18D05 18G55 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Baues, Hans-Joachim; Blanc, David Comparing cohomology obstructions. (English) Zbl 1216.55006 J. Pure Appl. Algebra 215, No. 6, 1420-1439 (2011). Reviewer: Martin D. Crossley (Swansea) MSC: 55S35 55Q05 18G55 55T25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Fiore, Thomas M.; Paoli, Simona A Thomason model structure on the category of small \(n\)-fold categories. (English) Zbl 1203.18014 Algebr. Geom. Topol. 10, No. 4, 1933-2008 (2010). MSC: 18G55 18D05 55P99 55U10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lafont, Yves; Métayer, François; Worytkiewicz, Krzysztof A folk model structure on omega-cat. (English) Zbl 1236.18017 Adv. Math. 224, No. 3, 1183-1231 (2010). MSC: 18G55 18D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lack, Stephen A 2-categories companion. (English) Zbl 1223.18003 Baez, John C. (ed.) et al., Towards higher categories. Berlin: Springer (ISBN 978-1-4419-1523-8/hbk; 978-1-4419-1524-5/ebook). The IMA Volumes in Mathematics and its Applications 152, 105-191 (2010). MSC: 18D05 18C15 18A30 18G30 18G55 18-01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fiore, Thomas M.; Paoli, Simona; Pronk, Dorette Model structures on the category of small double categories. (English) Zbl 1159.18302 Algebr. Geom. Topol. 8, No. 4, 1855-1959 (2008). MSC: 18D05 18G55 55P99 55U10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lack, Stephen; Paoli, Simona 2-nerves for bicategories. (English) Zbl 1155.18006 \(K\)-Theory 38, No. 2, 153-175 (2008). Reviewer: Ross H. Street (North Ryde) MSC: 18D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Worytkiewicz, K.; Hess, K.; Parent, P. E.; Tonks, A. A model structure à la Thomason on 2-Cat. (English) Zbl 1119.18006 J. Pure Appl. Algebra 208, No. 1, 205-236 (2007). Reviewer: Ross H. Street (North Ryde) MSC: 18D05 55U35 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lack, Stephen A Quillen model structure for bicategories. (English) Zbl 1069.18008 \(K\)-Theory 33, No. 3, 185-197 (2004). Reviewer: Akrur Behera (Rourkela) MSC: 18D05 × Cite Format Result Cite Review PDF Full Text: DOI
Elgueta, Josep 2-cosemisimplicial objects in a 2-category, permutohedra and deformations of pseudofunctors. (English) Zbl 1093.18003 J. Pure Appl. Algebra 191, No. 3, 223-264 (2004). Reviewer: Georges Hoff (Villetaneuse) MSC: 18D05 18G30 13D10 18D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv