13 citations · 44 across the 5 of their papers we have counts for
7 papers · 1 filter
Inverting weak dihomotopy equivalence using homotopy continuous flow
Philippe Gaucher
A flow is homotopy continuous if it is indefinitely divisible up to S-homotopy. The full subcategory of cofibrant homotopy continuous flows has nice features. Not only it is big en…
T-homotopy and refinement of observation (IV) : Invariance of the underlying homotopy type
Philippe Gaucher
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…
T-homotopy and refinement of observation (III) : Invariance of the branching and merging homologies
Philippe Gaucher
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…
Comparing globular complex and flow
Philippe Gaucher
A functor is constructed from the category of globular CW-complexes to that of flows. It allows the comparison of the S-homotopy equivalences (resp. the T-homotopy equivalences) of…
Homotopy branching space and weak dihomotopy
Philippe Gaucher
Withdrawn paper because the results are recycled in several other papers and a new definition of T-homotopy is proposed in math.AT/0505152.
A Convenient Category for The Homotopy Theory of Concurrency
Philippe Gaucher
Withdrawn paper because the results are published in math.AT/0308054 and math.AT/0308063.