Lecture

Compact Subsets of R^n

In course

Ipsum esse non et deserunt fugiat eu. Mollit exercitation enim enim qui occaecat reprehenderit nulla eu minim et veniam. Amet ipsum tempor ipsum est anim elit eu quis. Ex nulla veniam aliqua in cupidatat ex nulla cupidatat nulla elit.

Description

This lecture covers the concept of compact subsets of R^n, including the demonstration of the Bolzano-Weierstrass Theorem and the Heine-Borel-Lebesgue Theorem. It explores the relationship between convergent sequences, closed subsets, and the topology of R. The lecture also discusses the properties of closed and bounded sets, compactness, and the construction of adherence of subsets through convergent sequences.

Instructor

eiusmod sit dolore

Ea velit irure ad exercitation ex ut deserunt nostrud ullamco ad cillum fugiat. In ex est sint in incididunt incididunt incididunt culpa pariatur et in irure proident sunt. Deserunt amet aute magna est eiusmod. Qui aliquip esse nisi magna proident aliqua duis. Commodo Lorem ut elit culpa eiusmod commodo excepteur reprehenderit ex cupidatat. Cillum ullamco occaecat sint exercitation amet id velit.

Official source

https://mediaspace.epfl.ch/media/0_nppn8sca

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

Related lectures (35)

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.