# Coarse algebraic topology

##
Luigi Caputi
(University of Regensburg)

created by tardini on 08 Feb 2017

modified on 10 Feb 2017

13 feb 2017
-- 17:30

Aula A1, Polo Fibonacci, Pisa

**Abstract.**

Coarse geometry was born from the informal idea of studying the
large
scale structure of metric spaces. As the abstraction of continuous functions
between them led to the concept of open sets and topological spaces, the
study
of the large scale properties leads to the notion of entourage, and of
bornological coarse spaces. During the talk, starting from metric spaces, we
see how to define these objects and their morphisms, generalisations of
quasi-isometries. Moreover, in complete analogy with topological spaces,
we see
how to define suitable coarse homology theories.