Perfect (mathematics) - Revision history

Vipul at 14:36, 9 June 2008

2008-06-09T14:36:08Z

← Older revision		Revision as of 14:36, 9 June 2008
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	===In number theory===		===In number theory===

	~~[[Find link:~~:Perfect power~~]], for instance, perfect square or perfect cube: A perfect <math>n^{th~~}~~</math> power is an integer that occurs as the <math>n^{th~~}~~</math> power of an integer.~~		{{:Perfect power}}

	~~[[Find link::Perfect number]]: A natural number that equals the sum of all its proper divisors.~~

			{{:Perfect number}}
	===In field theory===		===In field theory===

	~~[[Find link:~~:Perfect field~~]]: A field that either has characteristic zero, or has <math>p</math> and <math>x \mapsto x^p</math> is a surjective map.~~		{{:Perfect field}}

	===In graph theory===		===In graph theory===

	~~[[Find link::Perfect graph]]: A graph with the property that for every induced subgraph, the chromatic number equals the clique number.~~		{{:Perfect graph}}

	~~[[Find link:~~:Perfect ~~matching]]: A matching in a bipartite~~ graph ~~such that every element on one side gets matched to exactly one element on the other side.~~

			{{:Perfect matching}}
	===In measure theory===		===In measure theory===

	{{:Perfect measure}}		{{:Perfect measure}}

Vipul at 14:26, 9 June 2008

2008-06-09T14:26:27Z

← Older revision		Revision as of 14:26, 9 June 2008
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	{{:Perfect space}}		{{:Perfect space}}
	~~[[Topospaces~~:Perfectly normal space~~\|Perfectly normal space]]: A normal space where every closed subset is an intersection of countably many open subsets containing it.~~
			{{:Perfectly normal space}}

	Perfect set: A set in a metric space that has no isolated points.		Perfect set: A set in a metric space that has no isolated points.

Vipul at 14:23, 16 May 2008

2008-05-16T14:23:00Z

← Older revision		Revision as of 14:23, 16 May 2008
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	===In group theory===		===In group theory===

	~~[[Groupprops~~:Perfect group~~\|Perfect group]]: A group that equals its own commutator subgroup.~~		{{:Perfect group}}

	===In topology===		===In topology===

	~~[[Topospaces~~:Perfect space~~\|Perfect space]]: A topological space where every point is closed, and is an intersection of countably many open subsets containing it.~~		{{:Perfect space}}

	[[Topospaces:Perfectly normal space\|Perfectly normal space]]: A normal space where every closed subset is an intersection of countably many open subsets containing it.		[[Topospaces:Perfectly normal space\|Perfectly normal space]]: A normal space where every closed subset is an intersection of countably many open subsets containing it.

Vipul at 14:15, 16 May 2008

2008-05-16T14:15:26Z

← Older revision		Revision as of 14:15, 16 May 2008
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	[[Find link::Perfect matching]]: A matching in a bipartite graph such that every element on one side gets matched to exactly one element on the other side.		[[Find link::Perfect matching]]: A matching in a bipartite graph such that every element on one side gets matched to exactly one element on the other side.

			===In measure theory===

			{{:Perfect measure}}

Vipul: New page: ===In group theory=== Perfect group: A group that equals its own commutator subgroup. ===In topology=== Perfect space: A topolo...

2008-05-13T01:45:06Z

New page: ===In group theory=== Perfect group: A group that equals its own commutator subgroup. ===In topology=== Perfect space: A topolo...

New page

===In group theory===

[[Groupprops:Perfect group|Perfect group]]: A group that equals its own commutator subgroup.

===In topology===

[[Topospaces:Perfect space|Perfect space]]: A topological space where every point is closed, and is an intersection of countably many open subsets containing it.

[[Topospaces:Perfectly normal space|Perfectly normal space]]: A normal space where every closed subset is an intersection of countably many open subsets containing it.

Perfect set: A set in a metric space that has no isolated points.

===In number theory===

[[Find link::Perfect power]], for instance, perfect square or perfect cube: A perfect <math>n^{th}</math> power is an integer that occurs as the <math>n^{th}</math> power of an integer.

[[Find link::Perfect number]]: A natural number that equals the sum of all its proper divisors.

===In field theory===

[[Find link::Perfect field]]: A field that either has characteristic zero, or has <math>p</math> and <math>x \mapsto x^p</math> is a surjective map.

===In graph theory===

[[Find link::Perfect graph]]: A graph with the property that for every induced subgraph, the chromatic number equals the clique number.

[[Find link::Perfect matching]]: A matching in a bipartite graph such that every element on one side gets matched to exactly one element on the other side.