Search results

Page title matches

Product topology
In [[general topology]], the '''product topology''' is an assignment of open sets to the [[Cartesian product]] of a family o ...in ''Y'' (that is, ''H'' is an element of ''U''). So a set is open in the product topology if is a union of products of open sets.

2 KB (345 words) - 16:47, 6 February 2010
Product topology/Definition

177 bytes (25 words) - 11:10, 4 September 2009
Product topology/Related Articles
Auto-populated based on [[Special:WhatLinksHere/Product topology]]. Needs checking by a human.

497 bytes (64 words) - 19:44, 11 January 2010

Product topology
In [[general topology]], the '''product topology''' is an assignment of open sets to the [[Cartesian product]] of a family o ...in ''Y'' (that is, ''H'' is an element of ''U''). So a set is open in the product topology if is a union of products of open sets.

2 KB (345 words) - 16:47, 6 February 2010
Compact space
...esian product]] of two (and hence finitely many) compact spaces with the [[product topology]] is compact. ...product theorem]]'': The product of any family of compact spaces with the product topology is compact. This is equivalent to the [[Axiom of Choice]].

4 KB (652 words) - 14:44, 30 December 2008
Open map/Related Articles
{{r|Product topology}}

477 bytes (61 words) - 19:12, 11 January 2010
Product topology/Related Articles
Auto-populated based on [[Special:WhatLinksHere/Product topology]]. Needs checking by a human.

497 bytes (64 words) - 19:44, 11 January 2010
Compactification
..."cube" ''I''<sup>''F''(''X'')</sup> be the [[Cartesian power]] with the [[product topology]]. The evaluation map ''e'' maps ''X'' to ''I''<sup>''F''(''X'')</sup>,reg

2 KB (350 words) - 00:48, 18 February 2009
Axiom of choice
...non-empty [[compact space|compact topological space]]s is compact in the [[product topology]].

2 KB (266 words) - 13:28, 5 January 2013
Topological space
====Product topology==== {{Main|Product topology}}

15 KB (2,586 words) - 16:07, 4 January 2013