Thomotopy and refinement of observation (IV) : Invariance of the underlying homotopy type
Abstract
This series explores a new notion of Thomotopy 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 Thomotopy equivalences preserve the underlying homotopy type of a flow. The proof is based on Reedy model category techniques.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 May 2005
 DOI:
 10.48550/arXiv.math/0505331
 arXiv:
 arXiv:math/0505331
 Bibcode:
 2005math......5331G
 Keywords:

 Mathematics  Algebraic Topology;
 Mathematics  Category Theory;
 55U35;
 55P99;
 68Q85
 EPrint:
 33 pages