MMUSSL
MMUSSL
2014
Abstract: The singular homology of a space X gives information about X through how it can be 'probed' by singular simplices. The geometric realization of a simplicial complex is a beautiful topological construction which illustrates this connection in a concrete and intuitive way. Generalizing this construction allows one to build many interesting topological spaces, the classical example being Eilenberg Maclane spaces. These spaces have theoretical significance throughout algebraic topology. They represent singular (co)homology and can also be used to classify cohomology operations. I will discuss these applications and how they give rise to deeper algebraic constructions in topology.
Geometric Realization and Eilenberg Maclane spaces
5/26/14
Title: Geometric Realization and Eilenberg MacLane Spaces
Speaker: John Holler
Date: May 26 - May 30 (TTh)
Time 12:00pm - 1:00pm