Namespaces
Variants
Actions

Cantor axiom

From Encyclopedia of Mathematics
Revision as of 18:37, 15 April 2018 by Richard Pinch (talk | contribs) (cf. Continuity axiom)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

One of the axioms characterizing the completeness of the real line (cf. Continuity axiom). It states that any nested sequence of closed intervals (that is, each interval is contained in its predecessor) with lengths tending to zero contains a unique common point. Formulated by G. Cantor, 1872.

How to Cite This Entry:
Cantor axiom. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Cantor_axiom&oldid=43156
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article