Faster access than browser!Similarities between Connected space and Discrete space
Connected space and Discrete space have 18 things in common (in Unionpedia): Base (topology), Cantor set, Closed set, Continuous function, Empty set, Hausdorff space, Homeomorphism, If and only if, Manifold, Open set, Product topology, Real line, Singleton (mathematics), Subset, Subspace topology, Topological space, Topology, Totally disconnected space.
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 Connected space · Base (topology) and Discrete 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 Connected space · Cantor set and Discrete space ·
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 Connected space · Closed set and Discrete 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.
Connected space and Continuous function · Continuous function and Discrete space ·
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.
Connected space and Empty set · Discrete space and Empty set ·
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.
Connected space and Hausdorff space · Discrete space and Hausdorff 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.
Connected space and Homeomorphism · Discrete space and Homeomorphism ·
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.
Connected space and If and only if · Discrete space and If and only if ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Connected space and Manifold · Discrete space and Manifold ·
Open set
In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line.
Connected space and Open set · Discrete space and Open set ·
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.
Connected space and Product topology · Discrete space and Product topology ·
Real line
In mathematics, the real line, or real number line is the line whose points are the real numbers.
Connected space and Real line · Discrete space and Real line ·
Singleton (mathematics)
In mathematics, a singleton, also known as a unit set, is a set with exactly one element.
Connected space and Singleton (mathematics) · Discrete space and Singleton (mathematics) ·
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.
Connected space and Subset · Discrete space and Subset ·
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).
Connected space and Subspace topology · Discrete 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.
Connected space and Topological space · Discrete space 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.
Connected space and Topology · Discrete space and Topology ·
Totally disconnected space
In topology and related branches of mathematics, a totally disconnected space is a topological space that is maximally disconnected, in the sense that it has no non-trivial connected subsets.
Connected space and Totally disconnected space · Discrete space and Totally disconnected space ·
The list above answers the following questions
- What Connected space and Discrete space have in common
- What are the similarities between Connected space and Discrete space
Connected space and Discrete space Comparison
Connected space has 77 relations, while Discrete space has 68. As they have in common 18, the Jaccard index is 12.41% = 18 / (77 + 68).
References
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