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arXiv:math/0505331 [math.AT]AbstractReferencesReviewsResources

T-homotopy and refinement of observation (IV) : Invariance of the underlying homotopy type

Philippe Gaucher

Published 2005-05-16, updated 2006-06-06Version 3

This series explores a new notion of T-homotopy equivalence of flows. The new definition involves embeddings of finite bounded posets preserving the bottom and the top elements and the associated cofibrations of flows. In this fourth part, it is proved that the generalized T-homotopy equivalences preserve the underlying homotopy type of a flow. The proof is based on Reedy model category techniques.

Comments: 33 pages ; 2 figures ; see http://nyjm.albany.edu:8000/j/2006/Vol12.htm
Journal: New-York Journal of Mathematics, vol. 12 : p. 63-95, 2006
Categories: math.AT, math.CT
Subjects: 55U35, 55P99, 68Q85
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arXiv:math/0505329 [math.AT] (Published 2005-05-16, updated 2006-09-20)
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arXiv:math/0505152 [math.AT] (Published 2005-05-09, updated 2006-01-19)
T-homotopy and refinement of observation (I) : Introduction

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