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.