Mathematics – K-Theory and Homology
Scientific paper
2009-05-08
Mathematics
K-Theory and Homology
21 pages
Scientific paper
We show that a set with an action of a locally finite-dimensional free partially commutative monoid and the corresponding semicubical set have isomorpic homology groups. We build a complex of finite length for the computing homology groups of any asynchronous transition system with finite maximal number of mutually independent events. We give examples of computing the homology groups.
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