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Canonical static concept record
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A set with structure that compares neighborhoods of pairs of points uniformly.
wp-uniformnlab-uniformtopology-without-tearsEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
The entourages define the canonical uniformity of a metric space.
Pass canonically from a stronger object to structure it determines, or forget part of the data while retaining a valid weaker structure. The carrier may change under a canonical induced construction.
wp-metricnlab-metricwp-uniformnlab-uniformtopology-without-tearsThis is an authored directed relation from the source endpoint to the target endpoint.
Choose entourages satisfying the uniformity axioms.
Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.
wp-uniformnlab-uniformtopology-without-tearsEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Every uniformity canonically determines a topology by its entourages.
Pass canonically from a stronger object to structure it determines, or forget part of the data while retaining a valid weaker structure. The carrier may change under a canonical induced construction.
wp-uniformnlab-uniformwp-top-spacetopology-without-tears