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Star refinement & Uniform space - Unionpedia, the concept map

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Difference between Star refinement and Uniform space

Star refinement vs. Uniform space

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. A related concept is the notion of barycentric refinement. In the mathematical field of topology, a uniform space is a set with additional structure that is used to define uniform properties, such as completeness, uniform continuity and uniform convergence.

Similarities between Star refinement and Uniform space

Star refinement and Uniform space have 6 things in common (in Unionpedia): Cover (topology), Mathematics, Metric space, Topological space, Topology, Uniform space.

Cover (topology)

In mathematics, and more particularly in set theory, a cover (or covering) of a set X is a family of subsets of X whose union is all of X. More formally, if C.

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Mathematics

Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.

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Metric space

In mathematics, a metric space is a set together with a notion of distance between its elements, usually called points.

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Topological space

In mathematics, a topological space is, roughly speaking, a geometrical space in which closeness is defined but cannot necessarily be measured by a numeric distance.

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Topology

Topology (from the Greek words, and) is the branch of mathematics concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself.

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Uniform space

In the mathematical field of topology, a uniform space is a set with additional structure that is used to define uniform properties, such as completeness, uniform continuity and uniform convergence.

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The list above answers the following questions

  • What Star refinement and Uniform space have in common
  • What are the similarities between Star refinement and Uniform space

Star refinement and Uniform space Comparison

Star refinement has 7 relations, while Uniform space has 54. As they have in common 6, the Jaccard index is 9.84% = 6 / (7 + 54).

References

This article shows the relationship between Star refinement and Uniform space. To access each article from which the information was extracted, please visit: