Lecture

Homotopy Theory of Chain Complexes

Description

This lecture delves into the homotopy theory of chain complexes over a field, exploring the closure properties of sets of cofibrations and fibrations under retractions, the right lifting property of acyclic fibrations, and the decomposition of chain complexes into direct sums of 'spheres' and 'disks'. The instructor, Kathryn Hess, provides a detailed explanation of why these properties hold and their significance in the context of homotopy theory.

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.

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.