Uniformly finite homology

Date:
27.06.2013
 Speaker:

Abstract. Uniformly finite homology was first introduced by Block and Weinberger as a useful tool to study largescale structures of spaces with bounded geometry. It is a coarse homology theory in the sense that two quasiisometric metric spaces have isomorphic uniformly finite homologies. Besides being an interesting theory on its own, uniformly finite homology has many applications in topology and geometry.
In this talk I will introduce uniformly finite homology, present the main examples and applications. I will also construct crossproduct and transfer maps to understand the relation between uniformly finite homology of a product of two spaces and the homology of the factors.

Place:
Raum 1C04
im Allianzgebäude (05.20)