Concept information
Preferred term
topological space
Definition
-
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. More specifically, a topological space is a set whose elements are called points, along with an additional structure called a topology, which can be defined as a set of neighbourhoods for each point that satisfy some axioms formalizing the concept of closeness. There are several equivalent definitions of a topology, the most commonly used of which is the definition through open sets, which is easier than the others to manipulate.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Topological_space)
Broader concept
Narrower concepts
- adjunction space
- Arens-Fort space
- Arens square
- box topology
- Cantor space
- Cantor tree
- cosmic space
- cubical complex
- discontinuous group
- discrete space
- fiber bundle
- fibration
- Hilbert cube
- isolated point
- Klein bottle
- locally compact space
- locally connected space
- locally ringed space
- loop space
- manifold
- meagre set
- Menger sponge
- metric space
- neighborhood
- nilpotent space
- pointwise convergence
- semitopological group
- Sierpiński carpet
- solenoid
- surface
- topological algebra
- topological dimension
- zero-dimensional space
- γ-space
In other languages
-
French
URI
http://data.loterre.fr/ark:/67375/PSR-MGJVTWX1-0
{{label}}
{{#each values }} {{! loop through ConceptPropertyValue objects }}
{{#if prefLabel }}
{{/if}}
{{/each}}
{{#if notation }}{{ notation }} {{/if}}{{ prefLabel }}
{{#ifDifferentLabelLang lang }} ({{ lang }}){{/ifDifferentLabelLang}}
{{#if vocabName }}
{{ vocabName }}
{{/if}}