4. Applications between metric spaces

4.1 Definition

$ε - δ$ continuity

Definition $ε - δ$ of continuity (continuous application (Bolzano, 1817, Cauchy, 1821, Fréchet, 1910)). An applicationf between two metric spaces (E,d _E ) and (F,d _F ) is (simply) continuous (continuous mapping) at a point x of E if (p. 178 of

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed? Log in!

Ongoing reading
Applications between metric spaces

Previous
page Sequences of points and subsets

Notions of separation

Article included in this offer

"Mathematics"

( 165 articles )

Complete knowledge base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

View offer details

Bibliography

(1) - AARTS (J.M.), NISHIURA (T.) - Dimension and Extensions, - North Holland, 331 pages (1993).
(2) - ADAMS (C.), FRANZOSA (R.) - Introduction to Topology Pure and Applied, - Pearson, 507 pages (2008).
...

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed? Log in!