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Compactly generated space

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Summary

A space whose topology is detected by maps from compact Hausdorff spaces.

Record metadata

Carrier(s)

Axioms / constraints

Notes

Convention-sensitive: some authors mean kk-space; others reserve “compactly generated” for compactly generated weak Hausdorff spaces. This node uses the kk-space condition only.

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Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Topological spaceCompactly generated space

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Require closedness/topology to be detected by compact Hausdorff probes.

How to interpret this relation type

Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.

Relation sources

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No direct relations are authored in this direction.