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Partial abelian monoids

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Speaker: 
Bastiaan Cnossen
Affiliation: 
MPIM
Date: 
Wed, 2019-10-09 16:30 - 18:30
Location: 
MPIM Seminar Room
This talk is the first in a series of three talks about Gamma-spaces, partial abelian monoids and Segal-spaces. 

The topic of this talk is the category of partial abelian monoids: based topological spaces with a partially defined addition. On a large subcategory, we define a tensor product of partial abelian monoids which is universal with respect to certain bilinear maps. This tensor product generalizes at the same time the tensor product of Z-modules and the smash product of based spaces, and gives concise descriptions of several well-known constructions in topology and algebra.

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