Room P3.10, Mathematics Building

Björn Gohla, GFM Univ. Lisboa
Monoids, Monads and Simplicial Objects

We will present some classical facts about the relationship between monoids and monads. We will use ordinal sums of categories and the join product of topological spaces to define the abstract and topological simplices. Along the way we show how the simplicial identities can be obtained. Time permitting we will indicate a 2-categorical generalization of this circle of ideas.