Q-set space: Difference between revisions
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* Every subset is a <math>F_\sigma</math>-[[F-sigma subset|subset]] | * Every subset is a <math>F_\sigma</math>-[[F-sigma subset|subset]] | ||
* Every subset is a <math>G_\delta</math>-[[G-delta subset|subset]] | * Every subset is a <math>G_\delta</math>-[[G-delta subset|subset]] | ||
==Relation with other properties== | |||
===Stronger properties=== | |||
* [[Discrete space]] | |||
===Weaker properties=== | |||
* [[Rarified space]] | |||
Revision as of 08:54, 18 August 2007
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 is a variation of discreteness. View other variations of discreteness
Definition
A topological space is termed a Q-set space or a Q-space if it satisfies the following equivalent conditions: