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

Abstract

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.

33 pages ; 2 figures ; see http://nyjm.albany.edu:8000/j/2006/Vol12.htm

References in corpus (1)

• Inverting weak dihomotopy equivalence using homotopy continuous flow

Cited by in corpus (1)

• T-homotopy and refinement of observation (III) : Invariance of the branching and merging homologies