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Discrete space and Topology

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

Difference between Discrete space and Topology

Discrete space vs. Topology

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. 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.

Similarities between Discrete space and Topology

Discrete space and Topology have 14 things in common (in Unionpedia): Cantor set, Category theory, Closed set, Compact space, Continuous function, Hausdorff space, Homeomorphism, Manifold, Metric space, Neighbourhood (mathematics), Open set, Real line, Springer Science+Business Media, Topological space.

Cantor set

In mathematics, the Cantor set is a set of points lying on a single line segment that has a number of remarkable and deep properties.

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

Category theory

Category theory formalizes mathematical structure and its concepts in terms of a labeled directed graph called a category, whose nodes are called objects, and whose labelled directed edges are called arrows (or morphisms).

Category theory and Discrete space · Category theory and Topology · See more »

Closed set

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

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

Compact space

In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other).

Compact space and Discrete space · Compact space and Topology · See more »

Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

Continuous function and Discrete space · Continuous function and Topology · 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.

Discrete space and Hausdorff space · Hausdorff space and Topology · See more »

Homeomorphism

In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function.

Discrete space and Homeomorphism · Homeomorphism and Topology · See more »

Manifold

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.

Discrete space and Manifold · Manifold and Topology · See more »

Metric space

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

Discrete space and Metric space · Metric space and Topology · See more »

Neighbourhood (mathematics)

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

Discrete space and Neighbourhood (mathematics) · Neighbourhood (mathematics) and Topology · See more »

Open set

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

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

Real line

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

Discrete space and Real line · Real line and Topology · See more »

Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

Discrete space and Springer Science+Business Media · Springer Science+Business Media and 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.

Discrete space and Topological space · Topological space and Topology · See more »

The list above answers the following questions

Discrete space and Topology Comparison

Discrete space has 68 relations, while Topology has 162. As they have in common 14, the Jaccard index is 6.09% = 14 / (68 + 162).

References

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

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