Supercompact

In mathematics, the term supercompact may refer to. ^[1]

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Table of Contents

1. 5 relations: Mathematics, Set theory, Supercompact cardinal, Supercompact space, Topology.

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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Set theory

Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects.

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Supercompact cardinal

In set theory, a supercompact cardinal is a type of large cardinal independently introduced by Solovay and Reinhardt.

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Supercompact space

In mathematics, in the field of topology, a topological space is called supercompact if there is a subbasis such that every open cover of the topological space from elements of the subbasis has a subcover with at most two subbasis elements.

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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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References

[1] https://en.wikipedia.org/wiki/Supercompact

Also known as Supercompact (disambiguation), Supercompactness.

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