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Subbase

In topology in mathematics, a subbase (or subbasis, prebase, prebasis) for the topology τ of a topological space (X, τ) is a subcollection B {\displaystyle B} of τ {\displaystyle \tau } that generates τ , {\displaystyle \tau ,} in the sense that τ {\displaystyle \tau } is the smallest topology containing B {\displaystyle B} as open sets. A slightly…

Examples, Results using subbases & Definition

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Overview

Definition

Examples

Results using subbases

Advanced semantic analysis

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Map overview Semantic statistics

Subbase

Nodes41
Edges40
Triples18
Avg. degree1.95
Density0.04878
Components1

How this topic connects Entity context

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Subbase

Top relations

related to Alternative definition · 8
Subbase → Clearly, For, However, In, Less, T1, There, This
related to Definition · 4
Subbase → Explicitly, Let, The, This
related to Alexander subbase theorem · 3
Subbase → James Waddell Alexander II, The, The Alexander Subbase Theorem
related to Results using subbases · 2
Subbase → One, That
is a · 1
Subbase → weaker notion than that of a base for a topology

Important terminology Word statistics

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Important terminology

displaystyle topology open tau mathcal definition cover containing sets set topological space also isbn oclc elements theorem intersection intersections basis

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Subbaseis aweaker notion than that of a base for a topology0.90text
Subbaserelated to Alexander subbase theoremThe Alexander Subbase Theorem0.60section
Subbaserelated to Alexander subbase theoremJames Waddell Alexander II0.60section
Subbaserelated to Alexander subbase theoremThe0.60section
Subbaserelated to Alternative definitionLess0.60section
Subbaserelated to Alternative definitionIn0.60section
Subbaserelated to Alternative definitionThis0.60section
Subbaserelated to Alternative definitionHowever0.60section
Subbaserelated to Alternative definitionThere0.60section
Subbaserelated to Alternative definitionFor0.60section
Subbaserelated to Alternative definitionClearly0.60section
Subbaserelated to Alternative definitionT10.60section

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    Min side: 3
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