Second-countability is hereditary - Revision history

Vipul at 22:31, 24 January 2012

2012-01-24T22:31:00Z

← Older revision		Revision as of 22:31, 24 January 2012
Line 1:		Line 1:
	{{topospace metaproperty satisfaction}}		{{topospace metaproperty satisfaction\|
			property = second-countable space\|
			metaproperty = subspace-hereditary property of topological spaces}}

	==Statement==		==Statement==

Vipul at 14:59, 21 July 2008

2008-07-21T14:59:00Z

@@ Line 10: / Line 10: @@
 Any subspace of a [[second-countable space]] is second-countable under the [[subspace topology]].
 ==References==
 * {{booklink-proved|Munkres}}, Page 191, Chapter 4, Section 30

Vipul: New page: {{topospace metaproperty satisfaction}} ==Statement== ===Property-theoretic statement=== The property of topological spaces of being a second-countable space satisfies the [[met...

2008-07-20T21:06:07Z

New page: {{topospace metaproperty satisfaction}} ==Statement== ===Property-theoretic statement=== The property of topological spaces of being a second-countable space satisfies the [[met...

New page

{{topospace metaproperty satisfaction}}

==Statement==

===Property-theoretic statement===

The [[property of topological spaces]] of being a [[second-countable space]] satisfies the [[metaproperty of topological spaces]] of being [[hereditary property of topological spaces|hereditary]].

===Verbal statement===

Any subspace of a [[second-countable space]] is second-countable under the [[subspace topology]].

==References==

* {{booklink-proved|Munkres}}, Page 191, Chapter 4, Section 30