Categorical Methods in Algebra and Topology

A.Y. 2019/2020
Lesson for
3
ECTS
16
Overall hours
Lesson period
January
Language
English
This course focuses on relevant contributions of category theory to the study of algebraic and topological structures.
In particular, we will study the behaviour of semi-abelian topological algebras, analysing how many of the classical results on topological groups can be extended to these topological algebras. Moreover, we will introduce the notion of (T,V)-category and (T,V)-functor and show that the combination of their double origins -- as lax Eilenberg-Moore algebras and as generalised enriched categories -- can be fruitfully used to recover and solve problems on exponentiability and descent for topological structures.
Undefined
Assessment methods
Giudizio di approvazione
Assessment result
superato/non superato