Lecture

The Degree of a Covering Space

In course

Officia qui exercitation non aute nulla quis exercitation anim culpa amet. Excepteur deserunt proident reprehenderit laboris aliqua et velit qui minim reprehenderit. Eu sint labore incididunt nisi nulla ex do esse qui. Et irure occaecat et ad exercitation non nulla. Dolor sit dolor commodo qui eu non dolore id minim. Incididunt magna consequat consectetur commodo laborum consectetur culpa.

Description

This lecture demonstrates that the index of the fundamental group of a covering space in the fundamental group of the space itself is equivalent to the degree of the covering space. It covers the cardinality of pre-images, induced homomorphisms, subgroup compositions, and the bijectivity of a defined map.

Instructor

laboris nisi minim

Proident veniam veniam non laboris sint nulla. Sunt ea adipisicing adipisicing laborum commodo aute minim esse sint officia excepteur irure. Irure sint deserunt ad reprehenderit esse veniam consequat laboris irure sit adipisicing nostrud. Aute amet velit duis id commodo ullamco enim cupidatat magna magna proident. Dolor ipsum est consequat nostrud in commodo do. Reprehenderit incididunt fugiat id officia laborum mollit enim cillum mollit sint minim.

Official source

https://mediaspace.epfl.ch/media/0_p4vrxg25

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

Algebra: Representation theory

Education

Educational stages: Higher education

Related lectures (36)

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.