Algebraic models in the homotopy theory of classifying spaces

Authored by: Natàlia Castellana

Handbook of Homotopy Theory

Print publication date:  December  2019
Online publication date:  December  2019

Print ISBN: 9780815369707
eBook ISBN: 9781351251624
Adobe ISBN:


 Download Chapter



Classically, algebraic topology refers to the study of the homotopy type of topological spaces by assigning algebraic invariants in a functorial way, but in the last decades homotopical methods have influenced other areas of mathematics. In this context, some topological spaces are more suitable for those kinds of interactions since they already encode algebraic information. This is the case of classifying spaces for groups. The classification of geometrical structures reduces to the understanding the homotopy type of maps into classifying spaces.

Search for more...
Back to top

Use of cookies on this website

We are using cookies to provide statistics that help us give you the best experience of our site. You can find out more in our Privacy Policy. By continuing to use the site you are agreeing to our use of cookies.