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]]

Latest revision as of 19:57, 11 May 2008

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:

Relation with other properties

Stronger properties

Weaker properties