Lecture

Mapping Cylinders and Mapping Cones

Description

This lecture delves into the construction of mapping cylinders and cones, exploring their role in the theory of exact sequences. The instructor discusses the process of mapping cylinders as quotients of a cylinder on X, and mapping cones as suspensions of a map. By iterating these constructions, a sequence of spaces is formed, showcasing H-cof exactness. The lecture also covers the push-out construction and the identification of the suspension of a map. Through detailed diagrams and explanations, the audience gains insights into how these concepts are applied in topology.

About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.