Partial abelian monoids

Speaker:

Bastiaan Cnossen

Affiliation:

MPIM

Date:

Wed, 09/10/2019 - 16:30 - 18:30

Location:

MPIM Seminar Room [2]

Parent event:

IMPRS seminar on various topics: Gamma-spaces and partial abelian monoids [3]

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.