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.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/4234
[3] https://www.mpim-bonn.mpg.de/node/9793