TOPOLOGICALSPACE

Topological space

In topology and related branches of mathematics, a topological space is a set of points, along with a set of neighbourhoods for each point, that satisfy a set of axioms relating points and neighbourhoods. The definition of a topological space relies only upon set theory and is the most general notion of a mathematical "space" that allows for the definition of concepts such as continuity, connectedness, and convergence. Other spaces, such as manifolds and metric spaces, are specializations of topological spaces with extra structures or constraints. Being so general, topological spaces are a central unifying notion and appear in virtually every branch of ...

The above text is a snippet from Wikipedia: Topological space
and as such is available under the Creative Commons Attribution/Share-Alike License.

topological space

Noun

  1. A set, together with a collection of its subsets that form a topology on the set.
  2. The set itself.


The above text is a snippet from Wiktionary: topological space
and as such is available under the Creative Commons Attribution/Share-Alike License.

Need help with a clue?
Try your search in the crossword dictionary!