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Non functorial cylinders in a model category

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García-Calcines J., García-Díaz P., Rodríguez-Machín S.

Open Mathematics

2006

tom 4

nr 3

376-394

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.

Ograniczanie wyników

1 Open Mathematics

1 García-Calcines J.

1 García-Díaz P.

1 Rodríguez-Machín S.

1 2006

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Non functorial cylinders in a model category