Generators and relations for as a monoidal 2-category.
Kock, Anders (1993)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “Extension categories and their homotopy”
Generators and relations for as a monoidal 2-category.
The connection between the -theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel
Amnon Neeman (1992)
Annales scientifiques de l'École Normale Supérieure
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Generalized homotopy theory.
J. Remedios-Gómez, S. Rodríguez-Machín (2001)
Extracta Mathematicae
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Abstract homotopy theory in procategories
Timothy Porter (1976)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Simplicial and categorical diagrams, and their equivariant applications.
Fritsch, Rudolf, Golasiński, Marek (1998)
Theory and Applications of Categories [electronic only]
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Generalized Brown representability in homotopy categories.
Rosický, Jiří (2005)
Theory and Applications of Categories [electronic only]
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An inverse -theory functor.
Mandell, Michael A. (2010)
Documenta Mathematica
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Category with a natural cone
Francisco Díaz, Sergio Rodríguez-Machín (2006)
Open Mathematics
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Generally, in homotopy theory a cylinder object (or, its dual, a path object) is used to define homotopy between morphisms, and a cone object is used to build exact sequences of homotopy groups. Here, an axiomatic theory based on a cone functor is given. Suspension objects are associated to based objects and cofibrations, obtaining homotopy groups referred to an object and relative to a cofibration, respectively. Exact sequences of these groups are built. Algebraic and particular examples...
Homotopy colimits in presheaf categories
Murray Heggie (1993)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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