Faster access than browser!Similarities between Compact space and Separable space
Compact space and Separable space have 27 things in common (in Unionpedia): Banach space, Continuous function, Counterexamples in Topology, Discrete space, Euclidean space, Finite set, First-countable space, Hausdorff space, Hilbert cube, Hilbert space, Homeomorphism, Lindelöf space, Lower limit topology, Mathematics, Metric space, Open set, Order topology, Product topology, Rational number, Real line, Second-countable space, Sequence, Subspace topology, Topological space, Trivial topology, Uniform convergence, Unit interval.
Banach space
In mathematics, more specifically in functional analysis, a Banach space (pronounced) is a complete normed vector space.
Banach space and Compact space · Banach space and Separable space ·
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.
Compact space and Continuous function · Continuous function and Separable space ·
Counterexamples in Topology
Counterexamples in Topology (1970, 2nd ed. 1978) is a book on mathematics by topologists Lynn Steen and J. Arthur Seebach, Jr. In the process of working on problems like the metrization problem, topologists (including Steen and Seebach) have defined a wide variety of topological properties.
Compact space and Counterexamples in Topology · Counterexamples in Topology and Separable space ·
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.
Compact space and Discrete space · Discrete space and Separable space ·
Euclidean space
In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.
Compact space and Euclidean space · Euclidean space and Separable space ·
Finite set
In mathematics, a finite set is a set that has a finite number of elements.
Compact space and Finite set · Finite set and Separable space ·
First-countable space
In topology, a branch of mathematics, a first-countable space is a topological space satisfying the "first axiom of countability".
Compact space and First-countable space · First-countable space and Separable space ·
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.
Compact space and Hausdorff space · Hausdorff space and Separable space ·
Hilbert cube
In mathematics, the Hilbert cube, named after David Hilbert, is a topological space that provides an instructive example of some ideas in topology.
Compact space and Hilbert cube · Hilbert cube and Separable space ·
Hilbert space
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.
Compact space and Hilbert space · Hilbert space and Separable space ·
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.
Compact space and Homeomorphism · Homeomorphism and Separable space ·
Lindelöf space
In mathematics, a Lindelöf space is a topological space in which every open cover has a countable subcover.
Compact space and Lindelöf space · Lindelöf space and Separable space ·
Lower limit topology
In mathematics, the lower limit topology or right half-open interval topology is a topology defined on the set \mathbb of real numbers; it is different from the standard topology on \mathbb (generated by the open intervals) and has a number of interesting properties.
Compact space and Lower limit topology · Lower limit topology and Separable space ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Compact space and Mathematics · Mathematics and Separable space ·
Metric space
In mathematics, a metric space is a set for which distances between all members of the set are defined.
Compact space and Metric space · Metric space and Separable space ·
Open set
In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line.
Compact space and Open set · Open set and Separable space ·
Order topology
In mathematics, an order topology is a certain topology that can be defined on any totally ordered set.
Compact space and Order topology · Order topology and Separable space ·
Product topology
In topology and related areas of mathematics, a product space is the cartesian product of a family of topological spaces equipped with a natural topology called the product topology.
Compact space and Product topology · Product topology and Separable space ·
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.
Compact space and Rational number · Rational number and Separable space ·
Real line
In mathematics, the real line, or real number line is the line whose points are the real numbers.
Compact space and Real line · Real line and Separable space ·
Second-countable space
In topology, a second-countable space, also called a completely separable space, is a topological space whose topology has a countable base.
Compact space and Second-countable space · Second-countable space and Separable space ·
Sequence
In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed.
Compact space and Sequence · Separable space and Sequence ·
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).
Compact space and Subspace topology · Separable space and Subspace topology ·
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.
Compact space and Topological space · Separable space and Topological space ·
Trivial topology
In topology, a topological space with the trivial topology is one where the only open sets are the empty set and the entire space.
Compact space and Trivial topology · Separable space and Trivial topology ·
Uniform convergence
In the mathematical field of analysis, uniform convergence is a type of convergence of functions stronger than pointwise convergence.
Compact space and Uniform convergence · Separable space and Uniform convergence ·
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.
Compact space and Unit interval · Separable space and Unit interval ·
The list above answers the following questions
- What Compact space and Separable space have in common
- What are the similarities between Compact space and Separable space
Compact space and Separable space Comparison
Compact space has 146 relations, while Separable space has 65. As they have in common 27, the Jaccard index is 12.80% = 27 / (146 + 65).
References
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