Neighbourhood (mathematics) and Topological space

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Difference between Neighbourhood (mathematics) and Topological space

Neighbourhood (mathematics) vs. Topological space

In topology and related areas of mathematics, a neighbourhood (or neighborhood) is one of the basic concepts in a 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.

Similarities between Neighbourhood (mathematics) and Topological space

Neighbourhood (mathematics) and Topological space have 9 things in common (in Unionpedia): Ball (mathematics), Filter (mathematics), Mathematics, Metric space, Open set, Real number, Set (mathematics), Subset, Topology.

Ball (mathematics)

In mathematics, a ball is the space bounded by a sphere.

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Filter (mathematics)

In mathematics, a filter is a special subset of a partially ordered set.

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Mathematics

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

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Metric space

In mathematics, a metric space is a set for which distances between all members of the set are defined.

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Open set

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

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Set (mathematics)

In mathematics, a set is a collection of distinct objects, considered as an object in its own right.

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Subset

In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.

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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.

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The list above answers the following questions

What Neighbourhood (mathematics) and Topological space have in common
What are the similarities between Neighbourhood (mathematics) and Topological space

Neighbourhood (mathematics) and Topological space Comparison

Neighbourhood (mathematics) has 21 relations, while Topological space has 141. As they have in common 9, the Jaccard index is 5.56% = 9 / (21 + 141).

References

This article shows the relationship between Neighbourhood (mathematics) and Topological space. To access each article from which the information was extracted, please visit:

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