Pullback and pushout squares in a special double category with connection
C. B. Spencer, Y. L. Wong (1983)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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C. B. Spencer, Y. L. Wong (1983)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Brown, Ronald, Kamps, K. H., Porter, Timothy (2005)
Theory and Applications of Categories [electronic only]
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J. García-Calcines, P. García-Díaz, S. Rodríguez-Machín (2006)
Open Mathematics
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Taking cylinder objects, as defined in a model category, we consider a cylinder construction in a cofibration category, which provides a reformulation of relative homotopy in the sense of Baues. Although this cylinder is not a functor we show that it verifies a list of properties which are very closed to those of an I-category (or category with a natural cylinder functor). Considering these new properties, we also give an alternative description of Baues’ relative homotopy groupoids. ...
Friedrich W. Bauer (1978)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Fiore, T.M. (2007)
Journal of Homotopy and Related Structures
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Timothy Porter (1976)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Brown, Ronald, Mosa, Ghafar H. (1999)
Theory and Applications of Categories [electronic only]
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Klaus Heiner Kamps (1978)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Antonio R. Garzon, Jesus G. Miranda (1997)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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