1. Home
  2. Fundamental sciences
  3. Mathematics
  4. Metric Spaces I. Basic Notions

  5. Property preservation and invariance

Article | REF: AF120 V1

Metric Spaces I. Basic Notions

Author: Jean-Charles PINOLI

Publication date: July 10, 2018

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

Already subscribed? Log in!

Français

11.  Property preservation and invariance

Preservations and invariances of topological properties (separateness, countability, compactness and connectedness) of topological spaces are covered in [AF97] and naturally apply to metric spaces.

11.1  Bornitude

A uniformly continuous application preserves bornitude (p. 162 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!

The Ultimate Scientific and Technical Reference

A Comprehensive Knowledge Base, with over 1,200 authors and 100 scientific advisors
+ More than 10,000 articles and 1,000 how-to sheets, over 800 new or updated articles every year
From design to prototyping, right through to industrialization, the reference for securing the development of your industrial projects

This article is included in

Mathematics

This offer includes:

Knowledge Base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

Practical Path

Operational and didactic, to guarantee the acquisition of transversal skills

Doc & Quiz

Interactive articles with quizzes, for constructive reading

Subscribe now!

Ongoing reading
Property preservation and invariance
Outline