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Clopen set and Discrete space

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Clopen set and Discrete space

Clopen set vs. Discrete space

In topology, a clopen set (a portmanteau of closed-open set) in a topological space is a set which is both open and closed. In topology, a discrete space is a particularly simple example of a topological space or similar structure, one in which the points form a discontinuous sequence, meaning they are isolated from each other in a certain sense.

Similarities between Clopen set and Discrete space

Clopen set and Discrete space have 7 things in common (in Unionpedia): Closed set, Empty set, Open set, Real line, Subspace topology, Topological space, Topology.

Closed set

In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set.

Clopen set and Closed set · Closed set and Discrete space · See more »

Empty set

In mathematics, and more specifically set theory, the empty set or null set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero.

Clopen set and Empty set · Discrete space and Empty set · See more »

Open set

In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line.

Clopen set and Open set · Discrete space and Open set · See more »

Real line

In mathematics, the real line, or real number line is the line whose points are the real numbers.

Clopen set and Real line · Discrete space and Real line · See more »

Subspace topology

In topology and related areas of mathematics, a subspace of a topological space X is a subset S of X which is equipped with a topology induced from that of X called the subspace topology (or the relative topology, or the induced topology, or the trace topology).

Clopen set and Subspace topology · Discrete space and Subspace topology · See more »

Topological space

In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.

Clopen set and Topological space · Discrete space and Topological space · See more »

Topology

In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.

Clopen set and Topology · Discrete space and Topology · See more »

The list above answers the following questions

Clopen set and Discrete space Comparison

Clopen set has 20 relations, while Discrete space has 68. As they have in common 7, the Jaccard index is 7.95% = 7 / (20 + 68).

References

This article shows the relationship between Clopen set and Discrete space. To access each article from which the information was extracted, please visit:

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