From Concurrency to Algebraic Topology

@article{Gaucher2001FromCT,
  title={From Concurrency to Algebraic Topology},
  author={Philippe Gaucher},
  journal={Electr. Notes Theor. Comput. Sci.},
  year={2001},
  volume={39},
  pages={1-19}
}
This paper is a survey of the new notions and results scattered in [13,11,12]. However the speculations of Section 5 and Section 6 are new. Starting from a formalization of higher dimensional automata (HDA) by strict globular ω-categories, the construction of a diagram of simplicial sets over the three-object small category − ← gl→ + is exposed. Some of the properties discovered so far on the corresponding simplicial homology theories are explained, in particular their links with geometric… CONTINUE READING
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