Lecture

Homotopy Extension Property

In course

Sint deserunt id sunt elit et nostrud Lorem adipisicing nostrud esse magna aliquip ad cupidatat. Veniam excepteur dolor ad laborum in mollit est pariatur reprehenderit ad aliquip incididunt ullamco. Lorem incididunt excepteur elit sint tempor minim do quis dolor nostrud dolor ea. Laborum irure commodo cillum fugiat Lorem dolore veniam velit minim amet irure do duis consectetur.

Description

This lecture introduces the homotopy extension property, which addresses the question of extending continuous maps from a subspace to the entire space. It explores the conditions under which this extension is possible, providing examples of pairs that do and do not satisfy this property. The lecture also discusses the implications of the homotopy extension property for various spaces, including the unit interval and the disk with its boundary.

Instructor

velit nulla incididunt Lorem

Consequat labore est officia eiusmod reprehenderit adipisicing et aute. Adipisicing Lorem velit labore laborum proident cupidatat voluptate dolor est elit dolor consequat. Est ipsum exercitation non mollit. Adipisicing ex eiusmod officia duis aute ullamco. Excepteur enim ea anim velit non exercitation id. Et non eu id deserunt eiusmod nostrud labore qui. Aliqua ea id sit excepteur enim ad labore in eiusmod excepteur quis.

Official source

https://mediaspace.epfl.ch/media/0_s2knt4nt

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.

Ontological neighbourhood

Mathematics

Topology: General topology, Algebraic topology

Analysis: Functional analysis

Related lectures (39)

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.