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Closed model categories for the n-type of spaces and simplicial sets
Published online by Cambridge University Press: 24 October 2008
Abstract
For each integer n ≥ 0, we give a distinct closed model category structure to the categories of spaces and of simplicial sets. Recall that a non-empty map is said to be a weak equivalence if it induces isomorphisms on the homotopy groups for any choice of base point. Putting the condition on dimensions ≥ n, we have the notion of a weak n-equivalence which is at the base of the nth closed model category structure given here.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 118 , Issue 1 , July 1995 , pp. 93 - 103
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- Copyright © Cambridge Philosophical Society 1995
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