@incollection{ConcuToAlgTopo, author="Gaucher, P.", title="{From concurrency to algebraic topology.}", language="English", booktitle="{Cousot, Patrick (ed.) et al., Geometry and topology in concurrency theory. Workshop, PennState, University Park, PA, USA, August 21, 2000. Amsterdam: Elsevier, Electronic Notes in Theoretical Computer Science. 39,2, 19 p., electronic only }", year={2000}, abstract="{Summary: This paper is a survey of the new notions and results from the same author scattered in Mathematical Structures in Computer Science, volume 10, number 4, august 2000, arxiv:math.CT/9912059 and arxiv:math.CT/0002216. However the speculations of the last two sections are new. Starting from a formalization of higher dimensional automata by strict globular omega-categories, the construction of a diagram of simplicial sets over a three-object small category is exposed. Some of the properties discovered so far on the corresponding simplicial homology theories are explained, in particular their links with geometric problems coming from concurrency theory in computer science.}", keywords="{higher dimensional automata; strict globular omega-categories}", classmath="{*68Q10 Modes of computation}", }