Compact T1 space: Difference between revisions
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==Relation with other properties== | |||
===Stronger properties=== | |||
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! Property !! Meaning !! Proof of implication !! Proof of strictness (reverse implication failure) !! Intermediate notions | |||
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| [[Weaker than::compact Hausdorff space]] || || || || | |||
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===Weaker properties=== | |||
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! Property !! Meaning !! Proof of implication !! Proof of strictness (reverse implication failure) !! Intermediate notions | |||
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| [[Stronger than::compact space]] || || || || | |||
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Latest revision as of 19:54, 26 January 2012
Definition
A compact T1 space is a topological space that is both a compact space and a T1 space.
This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces
This article describes a property of topological spaces obtained as a conjunction of the following two properties: compact space and T1 space
Relation with other properties
Stronger properties
| Property | Meaning | Proof of implication | Proof of strictness (reverse implication failure) | Intermediate notions |
|---|---|---|---|---|
| compact Hausdorff space |
Weaker properties
| Property | Meaning | Proof of implication | Proof of strictness (reverse implication failure) | Intermediate notions |
|---|---|---|---|---|
| compact space |