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A topological space whose distinct points have disjoint neighborhoods.
wp-separationnlab-hausdorff-spacetopology-without-tearsEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Distinct points have disjoint sufficiently small metric balls.
Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.
wp-metricwp-separationtopology-without-tearsThis is an authored directed relation from the source endpoint to the target endpoint.
Require distinct points to have disjoint neighborhoods.
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
wp-separationtopology-without-tearsEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Supply separation.
Feed several structures into a construction junction and impose compatibility between them.
wp-separationtopology-without-tearsThis is an authored directed relation from the source endpoint to the target endpoint.
Supply Hausdorff separation.
Feed several structures into a construction junction and impose compatibility between them.
wp-separationtopology-without-tearsThis is an authored directed relation from the source endpoint to the target endpoint.
Supply separation.
Feed several structures into a construction junction and impose compatibility between them.
wp-manifoldtopology-without-tearsThis is an authored directed relation from the source endpoint to the target endpoint.
Require continuous real-valued functions to separate points and closed sets.
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
wp-tychonofftopology-without-tears