Homological properties of non-deterministic branchings and mergings in higher dimensional automata

Details Homological properties of non-deterministic branchings and mergings in higher dimensional automata Homological properties of non-deterministic branchings and mergings in higher dimensional automata

2003-05-12

arxiv.org/abs/math/0305169v4

Homology Homotopy and Applications, vol. 7 (1):p.51-76, 2005

Mathematics

Algebraic Topology

24 pages and 6 figures ; cf http://www.emis.de/journals/HHA/

Scientific paper

The branching (resp. merging) space functor of a flow is a left Quillen
functor. The associated derived functor allows to define the branching (resp.
merging) homology of a flow. It is then proved that this homology theory is a
dihomotopy invariant and that higher dimensional branchings (resp. mergings)
satisfy a long exact sequence.

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