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On homology monoids of simplicial abelian monoids
 
 
Description: 

The homology semimodules Hn(S) of a presimplicial semimodule S introduced in our earlier paper, are studied in the case where S is a simplicial abelian monoid. In particular, it is shown that if a simplicial abelian monoid A satisfies the Kan condition and the monoid of path components of A is a group, then the homology monoids Hn(A) are isomorphic to the homotopy groups πn(A).

Date:  2018-04-17
Start Time:   15:30
Speaker:  Alex Patchkoria (A. Razmadze Math. Institute of Tbilisi State Univ., Georgia)
Institution:  A. Razmadze Math. Institute of Tbilisi State Univ., Georgia
Place:  Sala 5.5
Research Groups: -Algebra, Logic and Topology
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