Table of Contents
8 relations: Connected space, Continuous function, Discrete space, List of topologies, Mathematics, Topological space, Topology, Totally disconnected space.
Connected space
In topology and related branches of mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint non-empty open subsets.
See Discrete two-point space and Connected space
Continuous function
In mathematics, a continuous function is a function such that a small variation of the argument induces a small variation of the value of the function.
See Discrete two-point space and Continuous function
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, meaning they are isolated from each other in a certain sense. Discrete two-point space and discrete space are topological spaces.
See Discrete two-point space and Discrete space
List of topologies
The following is a list of named topologies or topological spaces, many of which are counterexamples in topology and related branches of mathematics. Discrete two-point space and list of topologies are topological spaces.
See Discrete two-point space and List of topologies
Mathematics
Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.
See Discrete two-point space and Mathematics
Topological space
In mathematics, a topological space is, roughly speaking, a geometrical space in which closeness is defined but cannot necessarily be measured by a numeric distance. Discrete two-point space and topological space are topological spaces.
See Discrete two-point space and Topological space
Topology
Topology (from the Greek words, and) is the branch of mathematics concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself.
See Discrete two-point space and Topology
Totally disconnected space
In topology and related branches of mathematics, a totally disconnected space is a topological space that has only singletons as connected subsets.
See Discrete two-point space and Totally disconnected space
References
Also known as Discrete 2-point space, Two-point space.