» topological space

Noun (1 meaning)

1. (mathematics) any set of points that satisfy a set of postulates of some kind.

mathematical space, topological space

Example:
  • “assume that the topological space is finite dimensional”
topological space is a type of:
  • set (noun) - (mathematics) an abstract collection of numbers or symbols
  • space, infinite (noun) - the unlimited expanse in which everything is located
types of topological space:
  • manifold (noun) - a set of points such as those of a closed surface or an analogue in three or more dimensions
  • metric space (noun) - a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality
  • null space (noun) - a space that contains no points
  • subspace (noun) - a space that is contained within another space
Domain of synset - TOPIC:
  • mathematics, math, maths (noun) - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement