Dense-in-itself space: Difference between revisions
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* [[Connected and T1 with at least two points implies no isolated points]] | * [[Connected and T1 with at least two points implies no isolated points]] | ||
==Relation with other properties== | |||
===Stronger properties=== | |||
{| class="sortable" border="1" | |||
! Property !! Meaning !! Proof of implication !! Proof of strictness (reverse implication failure) !!Intermediate notions | |||
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| [[Weaker than::resolvable space]] || || [[resolvable implies no isolated points]] || || | |||
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Revision as of 20:12, 26 January 2012
Definition
A space with no isolated points is a topological space in which there are no isolated points.
Facts
Relation with other properties
Stronger properties
| Property | Meaning | Proof of implication | Proof of strictness (reverse implication failure) | Intermediate notions |
|---|---|---|---|---|
| resolvable space | resolvable implies no isolated points |