Français
6. Notions of countability
Theorem (Sierpiński, 1920). Every infinitely countable metric space with no isolated points is homeomorphic to with its usual topology (p. 328 of ).
6.1 Countable bases of neighborhoods
A metric space has countable bases of neighborhoods (p. 102 of
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
Ongoing reading
Notions of countability
Notions of countability
Notions of compactness
Bibliography
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
