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Star refinement

In mathematics, specifically in the study of topology and open covers of a topological space X, a star refinement is a particular kind of refinement of an open cover of X. The term has two similar but distinct usages. A related term sometimes used to differentiate the weaker of these two properties is the notion of a barycentric refinement.

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Properties and Examples

Metric spaceT1 spaceBanach spaces
3 related topics

Definitions

CoveringRefinement
2 related topics

Overview

MathematicsTopologyOpen coversTopological spaceRefinement of an open cover
7 related topics

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Star refinement

Nodes16
Edges15
Triples4
Avg. degree1.88
Density0.125
Components1

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Star refinement

Top relations

related to Properties and Examples · 3
Star refinement → Every, Given, The
is a · 1
Star refinement → particular kind of refinement of an open cover of X

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Important terminology

refinement displaystyle mathcal space star every paracompact barycentric open cover strongly topology covering st metric two operatorname called spaces fully

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Star refinementis aparticular kind of refinement of an open cover of X0.90text
Star refinementrelated to Properties and ExamplesEvery0.60section
Star refinementrelated to Properties and ExamplesThe0.60section
Star refinementrelated to Properties and ExamplesGiven0.60section

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