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Locally compact space and Real number

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

Difference between Locally compact space and Real number

Locally compact space vs. Real number

In topology and related branches of mathematics, a topological space is called locally compact if, roughly speaking, each small portion of the space looks like a small portion of a compact space. In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Similarities between Locally compact space and Real number

Locally compact space and Real number have 26 things in common (in Unionpedia): Compact space, Complex number, Continuous function, Countable set, Dimension, Empty set, Haar measure, Hilbert space, Homeomorphism, Isomorphism, Lebesgue measure, Long line (topology), Mathematical analysis, Mathematics, Measure (mathematics), Point (geometry), Rational number, Real line, Sign (mathematics), Springer Science+Business Media, Subset, Topological group, Topological space, Topology, Unit interval, Up to.

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 Locally compact space · Compact space and Real number · See more »

Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

Complex number and Locally compact space · Complex number and Real number · 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 Locally compact space · Continuous function and Real number · See more »

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 Locally compact space · Countable set and Real number · See more »

Dimension

In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.

Dimension and Locally compact space · Dimension and Real number · 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.

Empty set and Locally compact space · Empty set and Real number · See more »

Haar measure

In mathematical analysis, the Haar measure assigns an "invariant volume" to subsets of locally compact topological groups, consequently defining an integral for functions on those groups.

Haar measure and Locally compact space · Haar measure and Real number · See more »

Hilbert space

The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.

Hilbert space and Locally compact space · Hilbert space and Real number · 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.

Homeomorphism and Locally compact space · Homeomorphism and Real number · See more »

Isomorphism

In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.

Isomorphism and Locally compact space · Isomorphism and Real number · See more »

Lebesgue measure

In measure theory, the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a measure to subsets of n-dimensional Euclidean space.

Lebesgue measure and Locally compact space · Lebesgue measure and Real number · See more »

Long line (topology)

In topology, the long line (or Alexandroff line) is a topological space somewhat similar to the real line, but in a certain way "longer".

Locally compact space and Long line (topology) · Long line (topology) and Real number · See more »

Mathematical analysis

Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.

Locally compact space and Mathematical analysis · Mathematical analysis and Real number · See more »

Mathematics

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

Locally compact space and Mathematics · Mathematics and Real number · See more »

Measure (mathematics)

In mathematical analysis, a measure on a set is a systematic way to assign a number to each suitable subset of that set, intuitively interpreted as its size.

Locally compact space and Measure (mathematics) · Measure (mathematics) and Real number · See more »

Point (geometry)

In modern mathematics, a point refers usually to an element of some set called a space.

Locally compact space and Point (geometry) · Point (geometry) and Real number · See more »

Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

Locally compact space and Rational number · Rational number and Real number · See more »

Real line

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

Locally compact space and Real line · Real line and Real number · See more »

Sign (mathematics)

In mathematics, the concept of sign originates from the property of every non-zero real number of being positive or negative.

Locally compact space and Sign (mathematics) · Real number and Sign (mathematics) · 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.

Locally compact space and Springer Science+Business Media · Real number and Springer Science+Business Media · See more »

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.

Locally compact space and Subset · Real number and Subset · See more »

Topological group

In mathematics, a topological group is a group G together with a topology on G such that the group's binary operation and the group's inverse function are continuous functions with respect to the topology.

Locally compact space and Topological group · Real number and Topological group · 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.

Locally compact space and Topological space · Real number 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.

Locally compact space and Topology · Real number and Topology · See more »

Unit interval

In mathematics, the unit interval is the closed interval, that is, the set of all real numbers that are greater than or equal to 0 and less than or equal to 1.

Locally compact space and Unit interval · Real number and Unit interval · See more »

Up to

In mathematics, the phrase up to appears in discussions about the elements of a set (say S), and the conditions under which subsets of those elements may be considered equivalent.

Locally compact space and Up to · Real number and Up to · See more »

The list above answers the following questions

Locally compact space and Real number Comparison

Locally compact space has 88 relations, while Real number has 217. As they have in common 26, the Jaccard index is 8.52% = 26 / (88 + 217).

References

This article shows the relationship between Locally compact space and Real number. To access each article from which the information was extracted, please visit:

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