Grandis, Marco The topology of critical processes. I: Processes and models. (English) Zbl 07798113 Cah. Topol. Géom. Différ. Catég. 65, No. 1, 3-34 (2024). Reviewer: Philippe Gaucher (Paris) MSC: 55P99 55U35 68Q85 18F99 74N99 PDFBibTeX XMLCite \textit{M. Grandis}, Cah. Topol. Géom. Différ. Catég. 65, No. 1, 3--34 (2024; Zbl 07798113) Full Text: arXiv Link
Grandis, Marco A note on the smash product and regular associativity. arXiv:2402.12316 Preprint, arXiv:2402.12316 [math.AT] (2024). MSC: 55Pxx 18D15 BibTeX Cite \textit{M. Grandis}, ``A note on the smash product and regular associativity'', Preprint, arXiv:2402.12316 [math.AT] (2024) Full Text: arXiv OA License
Grandis, Marco Algebraic topology. A structural introduction. (English) Zbl 1493.55001 Singapore: World Scientific (ISBN 978-981-12-4835-1/hbk; 978-981-12-4837-5/ebook). x, 361 p. (2022). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 55-01 PDFBibTeX XMLCite \textit{M. Grandis}, Algebraic topology. A structural introduction. Singapore: World Scientific (2022; Zbl 1493.55001) Full Text: DOI
Grandis, Marco Homological algebra in strongly non-abelian settings. (English) Zbl 1280.18002 Hackensack, NJ: World Scientific (ISBN 978-981-4425-91-9/hbk; 978-981-4425-92-6/ebook). xi, 343 p. (2013). Reviewer: Timothy Porter (Bangor) MSC: 18-02 18G20 18G50 55U99 PDFBibTeX XMLCite \textit{M. Grandis}, Homological algebra in strongly non-abelian settings. Hackensack, NJ: World Scientific (2013; Zbl 1280.18002) Full Text: DOI
Grandis, Marco A Lax symmetric cubical category associated to a directed space. (English) Zbl 1275.55012 Cah. Topol. Géom. Différ. Catég. 53, No. 2, 115-156 (2012). Reviewer: Philippe Gaucher (Paris) MSC: 55U35 18D05 PDFBibTeX XMLCite \textit{M. Grandis}, Cah. Topol. Géom. Différ. Catég. 53, No. 2, 115--156 (2012; Zbl 1275.55012)
Grandis, Marco Singularities and regular paths (an elementary introduction to smooth homotopy). (English) Zbl 1237.58007 Cah. Topol. Géom. Différ. Catég. 52, No. 1, 45-78 (2011). MSC: 58A40 58A20 55Q05 58K30 PDFBibTeX XMLCite \textit{M. Grandis}, Cah. Topol. Géom. Différ. Catég. 52, No. 1, 45--78 (2011; Zbl 1237.58007)
Grandis, Marco Directed algebraic topology. Models of non-reversible worlds. (English) Zbl 1176.55001 New Mathematical Monographs 13. Cambridge: Cambridge University Press (ISBN 978-0-521-76036-2/hbk). ix, 434 p. (2009). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 55-01 55U35 18D05 68Q85 PDFBibTeX XMLCite \textit{M. Grandis}, Directed algebraic topology. Models of non-reversible worlds. Cambridge: Cambridge University Press (2009; Zbl 1176.55001)
Grandis, Marco Cubical cospans and higher cobordisms. (Cospans in algebraic topology. III). (English) Zbl 1185.18005 J. Homotopy Relat. Struct. 3, No. 1, 273-308 (2008). MSC: 18D05 55U10 PDFBibTeX XMLCite \textit{M. Grandis}, J. Homotopy Relat. Struct. 3, No. 1, 273--308 (2008; Zbl 1185.18005) Full Text: arXiv EMIS
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
Grandis, Marco Collared cospans, cohomotopy and TQFT. (Cospans in algebraic topology. II). (English) Zbl 1136.18004 Theory Appl. Categ. 18, 602-630 (2007). Reviewer: Bernard Badzioch (Buffalo) MSC: 18G55 18D05 55P65 55Q55 57N70 57R56 PDFBibTeX XMLCite \textit{M. Grandis}, Theory Appl. Categ. 18, 602--630 (2007; Zbl 1136.18004) Full Text: EuDML EMIS
Grandis, Marco The fundamental weighted category of a weighted space: From directed to weighted algebraic topology. (English) Zbl 1158.55013 Homology Homotopy Appl. 9, No. 1, 221-256 (2007). Reviewer: Philippe Gaucher (Paris) MSC: 55P99 54E35 46L80 PDFBibTeX XMLCite \textit{M. Grandis}, Homology Homotopy Appl. 9, No. 1, 221--256 (2007; Zbl 1158.55013) Full Text: DOI arXiv Link
Grandis, Marco Lax 2-categories and directed homotopy. (English) Zbl 1170.18301 Cah. Topol. Géom. Différ. Catég. 47, No. 2, 107-128 (2006). MSC: 18D05 55U35 18A40 PDFBibTeX XMLCite \textit{M. Grandis}, Cah. Topol. Géom. Différ. Catég. 47, No. 2, 107--128 (2006; Zbl 1170.18301) Full Text: Numdam EuDML
Grandis, Marco Quotient models of a category up to directed homotopy. (English) Zbl 1106.55006 Theory Appl. Categ. 16, 709-735 (2006). Reviewer: Richard John Steiner (Glasgow) MSC: 55P99 18A99 68Q85 PDFBibTeX XMLCite \textit{M. Grandis}, Theory Appl. Categ. 16, 709--735 (2006; Zbl 1106.55006) Full Text: EuDML EMIS
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
Grandis, Marco Modelling fundamental 2-categories for directed homotopy. (English) Zbl 1087.18005 Homology Homotopy Appl. 8, No. 1, 31-70 (2006). Reviewer: Timothy Porter (Bangor) MSC: 18D05 18A40 55P99 55Q99 55U99 PDFBibTeX XMLCite \textit{M. Grandis}, Homology Homotopy Appl. 8, No. 1, 31--70 (2006; Zbl 1087.18005) Full Text: DOI Link
Grandis, Marco The shape of a category up to directed homotopy. (English) Zbl 1091.55006 Theory Appl. Categ. 15, Spec. Vol. CT2004 Conf., 95-146 (2005-2006). Reviewer: Lisbeth Fajstrup (Aalborg) MSC: 55P99 18A40 68Q85 PDFBibTeX XMLCite \textit{M. Grandis}, Theory Appl. Categ. 15, 95--146 (2005; Zbl 1091.55006) Full Text: EuDML EMIS
Grandis, Marco A few points on directed algebraic topology. (English) Zbl 1079.55002 Cah. Topol. Géom. Différ. Catég. 46, No. 3, 194-195 (2005). MSC: 55-02 55P99 68Q85 PDFBibTeX XMLCite \textit{M. Grandis}, Cah. Topol. Géom. Différ. Catég. 46, No. 3, 194--195 (2005; Zbl 1079.55002)
Grandis, Marco Inequilogical spaces, directed homology and noncommutative geometry. (English) Zbl 1079.18001 Homology Homotopy Appl. 6, No. 1, 413-437 (2004). Reviewer: Akrur Behera (Rourkela) MSC: 18B30 54A05 55P99 46L85 PDFBibTeX XMLCite \textit{M. Grandis}, Homology Homotopy Appl. 6, No. 1, 413--437 (2004; Zbl 1079.18001) Full Text: DOI EuDML EMIS
Grandis, Marco Directed homotopy theory. I. (English) Zbl 1059.55009 Cah. Topol. Géom. Différ. Catég. 44, No. 4, 281-316 (2003). Reviewer: Georges Hoff (Villetaneuse) MSC: 55U35 18G55 55P99 PDFBibTeX XMLCite \textit{M. Grandis}, Cah. Topol. Géom. Différ. Catég. 44, No. 4, 281--316 (2003; Zbl 1059.55009) Full Text: Numdam EuDML
Grandis, Marco; Janelidze, George Galois theory of simplicial complexes. (English) Zbl 1029.18007 Topology Appl. 132, No. 3, 281-289 (2003). Reviewer: I.Pop (Iaşi) MSC: 18G30 57Q05 57M10 18B30 55U35 18A40 PDFBibTeX XMLCite \textit{M. Grandis} and \textit{G. Janelidze}, Topology Appl. 132, No. 3, 281--289 (2003; Zbl 1029.18007) Full Text: DOI
Grandis, Marco Ordinary and directed combinatorial homotopy, applied to image analysis and concurrency. (English) Zbl 1027.68140 Homology Homotopy Appl. 5, No. 2, 211-231 (2003). MSC: 68U10 68Q85 54E35 54E15 55U10 05C38 55Q05 55N99 54G99 PDFBibTeX XMLCite \textit{M. Grandis}, Homology Homotopy Appl. 5, No. 2, 211--231 (2003; Zbl 1027.68140) Full Text: DOI EuDML EMIS
Grandis, Marco Higher fundamental groupoids for spaces. (English) Zbl 1023.55007 Topology Appl. 129, No. 3, 281-299 (2003). Reviewer: J.Remedios (La Laguna) MSC: 55P99 18G55 18D05 55U10 55P65 PDFBibTeX XMLCite \textit{M. Grandis}, Topology Appl. 129, No. 3, 281--299 (2003; Zbl 1023.55007) Full Text: DOI
Grandis, Marco Directed homotopy theory, II. Homotopy constructs. (English) Zbl 1034.55006 Theory Appl. Categ. 10, 369-391 (2002). Reviewer: G. Hoff (Villetaneuse) MSC: 55P99 18G55 PDFBibTeX XMLCite \textit{M. Grandis}, Theory Appl. Categ. 10, 369--391 (2002; Zbl 1034.55006) Full Text: EuDML EMIS
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
Grandis, M.; Vitale, E. M. A higher dimensional homotopy sequence. (English) Zbl 1008.18012 Homology Homotopy Appl. 4, No. 1, 59-69 (2002). Reviewer: Timothy Porter (Bangor, Gwynedd) MSC: 18G55 55Q05 20L05 PDFBibTeX XMLCite \textit{M. Grandis} and \textit{E. M. Vitale}, Homology Homotopy Appl. 4, No. 1, 59--69 (2002; Zbl 1008.18012) Full Text: DOI Euclid EuDML EMIS
Grandis, Marco A note on exactness and stability in homotopical algebra. (English) Zbl 1007.55017 Theory Appl. Categ. 9, 17-42 (2001). Reviewer: Juan Martinez-Moreno (Jaén) MSC: 55U35 18G55 55P05 55U15 55R05 18D05 PDFBibTeX XMLCite \textit{M. Grandis}, Theory Appl. Categ. 9, 17--42 (2001; Zbl 1007.55017) Full Text: arXiv EuDML EMIS
Grandis, Marco Higher fundamental functors for simplicial sets. (English) Zbl 1006.18014 Cah. Topologie Géom. Différ. Catégoriques 42, No. 2, 101-136 (2001). Reviewer: K.H.Kamps (Hagen) MSC: 18G30 55P99 18A40 20L05 55U10 PDFBibTeX XMLCite \textit{M. Grandis}, Cah. Topologie Géom. Différ. Catégoriques 42, No. 2, 101--136 (2001; Zbl 1006.18014) Full Text: arXiv Numdam EuDML
Grandis, Marco Directed homotopy theory, I. The fundamental category. arXiv:math/0111048 Preprint, arXiv:math/0111048 [math.AT] (2001). MSC: 55Pxx 18G55 54E55 54F05 BibTeX Cite \textit{M. Grandis}, ``Directed homotopy theory, I. The fundamental category'', Preprint, arXiv:math/0111048 [math.AT] (2001) Full Text: arXiv
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 On the homotopy structure of strongly homotopy associative algebras. (English) Zbl 0923.18007 J. Pure Appl. Algebra 134, No. 1, 15-81 (1999). Reviewer: Kohhei Yamaguchi (Tokyo) MSC: 18G55 55U35 55U15 55P35 12H05 16W50 PDFBibTeX XMLCite \textit{M. Grandis}, J. Pure Appl. Algebra 134, No. 1, 15--81 (1999; Zbl 0923.18007) Full Text: DOI
Grandis, Marco Weak subobjects and weak limits in categories and homotopy categories. (English) Zbl 0891.18001 Cah. Topologie Géom. Différ. Catég. 38, No. 4, 301-326 (1997). Reviewer: W.Tholen (Downsview) MSC: 18A32 55U35 18G55 18A30 55P65 PDFBibTeX XMLCite \textit{M. Grandis}, Cah. Topologie Géom. Différ. Catégoriques 38, No. 4, 301--326 (1997; Zbl 0891.18001) Full Text: Numdam EuDML
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
Grandis, Marco Simplicial homotopical algebra and satellites. (English) Zbl 0872.18005 Appl. Categ. Struct. 5, No. 1, 75-97 (1997). Reviewer: T.W.Hungerford (Cleveland) MSC: 18G50 55U35 18G55 55U10 55P65 PDFBibTeX XMLCite \textit{M. Grandis}, Appl. Categ. Struct. 5, No. 1, 75--97 (1997; Zbl 0872.18005) Full Text: DOI
Grandis, Marco Cubical homotopical algebra and cochain algebras. (English) Zbl 0871.55016 Ann. Mat. Pura Appl., IV. Ser. 170, 147-186 (1996). MSC: 55U35 18G99 PDFBibTeX XMLCite \textit{M. Grandis}, Ann. Mat. Pura Appl. (4) 170, 147--186 (1996; Zbl 0871.55016) Full Text: DOI
Grandis, Marco Homotopical algebra and triangulated categories. (English) Zbl 0843.18007 Math. Proc. Camb. Philos. Soc. 118, No. 2, 259-285 (1995). Reviewer: G.Hoff (Villetaneuse) MSC: 18G55 55U35 18E30 55P99 PDFBibTeX XMLCite \textit{M. Grandis}, Math. Proc. Camb. Philos. Soc. 118, No. 2, 259--285 (1995; Zbl 0843.18007) Full Text: DOI
Grandis, Marco Homotopical algebra in homotopical categories. (English) Zbl 0826.55015 Appl. Categ. Struct. 2, No. 4, 351-406 (1994). Reviewer: G.Hoff (Villetaneuse) MSC: 55U35 18G55 18D05 55P99 55R05 PDFBibTeX XMLCite \textit{M. Grandis}, Appl. Categ. Struct. 2, No. 4, 351--406 (1994; Zbl 0826.55015) Full Text: DOI
Grandis, Marco Cubical monads and their symmetries. (English) Zbl 0834.55012 Rend. Ist. Mat. Univ. Trieste 25, No. 1-2, 223-262 (1993). Reviewer: G.Hoff (Villetaneuse) MSC: 55U35 18C15 19D23 18D10 55P99 18G55 PDFBibTeX XMLCite \textit{M. Grandis}, Rend. Ist. Mat. Univ. Trieste 25, No. 1--2, 223--262 (1993; Zbl 0834.55012)
Grandis, Marco On the categorical foundations of homological and homotopical algebra. (English) Zbl 0814.18006 Cah. Topologie Géom. Différ. Catég. 33, No. 2, 135-175 (1992). MSC: 18G99 18E99 55P99 18D20 55N20 55N40 18E10 PDFBibTeX XMLCite \textit{M. Grandis}, Cah. Topologie Géom. Différ. Catégoriques 33, No. 2, 135--175 (1992; Zbl 0814.18006) Full Text: Numdam EuDML
Grandis, Marco A categorical approach to exactness in algebraic topology. (English) Zbl 0770.55013 Topology, Proc. 5th Int. Meet., Lecce/Italy 1990, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 29, 179-213 (1992). Reviewer: W.Grölz (Ammerbuch) MSC: 55U05 PDFBibTeX XMLCite \textit{M. Grandis}, in: V convegno internazionale di topologia in Italia, Lecce - Otranto, 17-21 Settembre, 1990. Palermo: Circolo Matematico di Palermo. 179--213 (1992; Zbl 0770.55013)