Faster access than browser!Similarities between General topology and Subbase
General topology and Subbase have 17 things in common (in Unionpedia): Base (topology), Compact space, Continuous function, Dover Publications, If and only if, Initial topology, Intersection (set theory), Open set, Product topology, Rational number, Real number, Subspace topology, T1 space, Topological space, Topology, Tychonoff's theorem, Union (set theory).
Base (topology)
In mathematics, a base (or basis) B for a topological space X with topology T is a collection of open sets in T such that every open set in T can be written as a union of elements of B.We are using a convention that the union of empty collection of sets is the empty set.
Base (topology) and General topology · Base (topology) and Subbase ·
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 General topology · Compact space and Subbase ·
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 General topology · Continuous function and Subbase ·
Dover Publications
Dover Publications, also known as Dover Books, is an American book publisher founded in 1941 by Hayward Cirker and his wife, Blanche.
Dover Publications and General topology · Dover Publications and Subbase ·
If and only if
In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.
General topology and If and only if · If and only if and Subbase ·
Initial topology
In general topology and related areas of mathematics, the initial topology (or weak topology or limit topology or projective topology) on a set X, with respect to a family of functions on X, is the coarsest topology on X that makes those functions continuous.
General topology and Initial topology · Initial topology and Subbase ·
Intersection (set theory)
In mathematics, the intersection A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B (or equivalently, all elements of B that also belong to A), but no other elements.
General topology and Intersection (set theory) · Intersection (set theory) and Subbase ·
Open set
In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line.
General topology and Open set · Open set and Subbase ·
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.
General topology and Product topology · Product topology and Subbase ·
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.
General topology and Rational number · Rational number and Subbase ·
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
General topology and Real number · Real number and Subbase ·
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).
General topology and Subspace topology · Subbase and Subspace topology ·
T1 space
In topology and related branches of mathematics, a T1 space is a topological space in which, for every pair of distinct points, each has a neighborhood not containing the other.
General topology and T1 space · Subbase and T1 space ·
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.
General topology and Topological space · Subbase and Topological space ·
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.
General topology and Topology · Subbase and Topology ·
Tychonoff's theorem
In mathematics, Tychonoff's theorem states that the product of any collection of compact topological spaces is compact with respect to the product topology.
General topology and Tychonoff's theorem · Subbase and Tychonoff's theorem ·
Union (set theory)
In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection.
General topology and Union (set theory) · Subbase and Union (set theory) ·
The list above answers the following questions
- What General topology and Subbase have in common
- What are the similarities between General topology and Subbase
General topology and Subbase Comparison
General topology has 175 relations, while Subbase has 26. As they have in common 17, the Jaccard index is 8.46% = 17 / (175 + 26).
References
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