Lecture
Cantor-Heine Theorem
Description
This lecture discusses the Cantor-Heine theorem, which states that a function is uniformly continuous on a compact non-empty set if it is continuous. The proof for the generalized version is presented, along with the concept of compactness. The lecture also covers the error in the proof and the implications of the theorem being false in certain cases.
This video is available exclusively on Mediaspace for a restricted audience. Please log in to MediaSpace to access it if you have the necessary permissions.
Watch on MediaspaceInstructors (2)
consequat cupidatat eiusmod
Irure deserunt dolor Lorem labore id veniam tempor consequat Lorem ad id. Sunt sint velit enim sint irure qui. Aliqua ullamco ut laboris ea sit fugiat et qui sit anim qui velit. Ea ipsum aute consectetur excepteur sunt.
officia aliquip
Eiusmod cupidatat reprehenderit laborum excepteur officia nostrud in nisi velit do anim mollit in. Nostrud ad nulla laboris tempor adipisicing deserunt commodo. Occaecat tempor veniam ad ipsum ad dolor. Aute exercitation aute do ullamco proident ullamco mollit cillum Lorem et.
Official source
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 (45)
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Open Mapping Theorem
Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.
Harmonic Forms and Riemann Surfaces
Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.
Meromorphic Functions & Differentials
Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.
Advanced Analysis 2: Continuity and Limits
Delves into advanced analysis topics, emphasizing continuity, limits, and uniform continuity.