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Separable space and Zero-dimensional space

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

Difference between Separable space and Zero-dimensional space

Separable space vs. Zero-dimensional space

In mathematics, a topological space is called separable if it contains a countable, dense subset; that is, there exists a sequence \_^ of elements of the space such that every nonempty open subset of the space contains at least one element of the sequence. In mathematics, a zero-dimensional topological space (or nildimensional) is a topological space that has dimension zero with respect to one of several inequivalent notions of assigning a dimension to a given topological space.

Similarities between Separable space and Zero-dimensional space

Separable space and Zero-dimensional space have 8 things in common (in Unionpedia): Countable set, Discrete space, Hausdorff space, Mathematics, Metrization theorem, Open set, Subspace topology, Topological space.

Countable set

In mathematics, a countable set is a set with the same cardinality (number of elements) as some subset of the set of natural numbers.

Countable set and Separable space · Countable set and Zero-dimensional space · See more »

Discrete space

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.

Discrete space and Separable space · Discrete space and Zero-dimensional space · See more »

Hausdorff space

In topology and related branches of mathematics, a Hausdorff space, separated space or T2 space is a topological space in which distinct points have disjoint neighbourhoods.

Hausdorff space and Separable space · Hausdorff space and Zero-dimensional space · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Mathematics and Separable space · Mathematics and Zero-dimensional space · See more »

Metrization theorem

In topology and related areas of mathematics, a metrizable space is a topological space that is homeomorphic to a metric space.

Metrization theorem and Separable space · Metrization theorem and Zero-dimensional space · See more »

Open set

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

Open set and Separable space · Open set and Zero-dimensional space · 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).

Separable space and Subspace topology · Subspace topology and Zero-dimensional space · 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.

Separable space and Topological space · Topological space and Zero-dimensional space · See more »

The list above answers the following questions

Separable space and Zero-dimensional space Comparison

Separable space has 65 relations, while Zero-dimensional space has 26. As they have in common 8, the Jaccard index is 8.79% = 8 / (65 + 26).

References

This article shows the relationship between Separable space and Zero-dimensional space. To access each article from which the information was extracted, please visit:

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