Related lectures (54)
Cellular Homology: Applications
Delves into applying cellular homology to compute homology groups and Euler characteristic, showcasing its practical implications.
Introduction to Topology
Covers fundamental concepts of space, topology, groups, and homology theory.
Homotopic Extension Problem
Explores solving the homotopic extension problem, constructing relative CW complexes, and ensuring uniqueness in CW approximations.
Bar Construction: Homology Groups and Classifying Space
Covers the bar construction method, homology groups, classifying space, and the Hopf formula.
Serre model structure: Left and right homotopy
Explores the Serre model structure, focusing on left and right homotopy equivalences.
Homotopy Extension Property
Demonstrates how to obtain homotopy equivalences between different spaces using the homotopy extension property.
CW Complexes: Products and Quotients
Explores the construction and properties of CW complexes, focusing on characteristic maps, closed subsets, products, quotients, and cell formation.
Cofibrations: Extension Property and Recognition Principle
Explores the extension property of spaces and the recognition principle for cofibrations.
Cellular Boundary Formula
Explains the cellular boundary formula in complex structures and its mappings.
CW Approximation Theorem
Explores the CW Approximation Theorem, constructing CW complexes from spaces to ensure isomorphism on homology groups.

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.