Quillen model categories without equalisers or coequalisers

Details Quillen model categories without equalisers or coequalisers Quillen model categories without equalisers or coequalisers

2006-09-28

arxiv.org/abs/math/0609808v1

Mathematics

Category Theory

6 pages

Scientific paper

Quillen defined a {\em model category} to be a category with finite limits and colimits carrying a certain extra structure. In this paper, we show that only finite products and coproducts (in addition to the certain extra structure alluded to above) are really necessary to construct the homotopy category. This leads to the interesting observation that the homotopy category construction could feasibly be iterated.1

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