Definition:Space

Disambiguation

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Space may refer to:

• Mapping Theory:
  • Cartesian Space

• Topology:
  • Topological Space
  • Hausdorff Space

• Linear Algebra:
  • Vector Space
    • Column Space
    • Row Space
    • Null Space
  • Bilinear Space
  • Quadratic Space

A space in mathematics is a synonym for set, usually with some other additional properties that make it more useful for study.

• Also see aggregate, which has a similar sort of connotation, but vaguer.

Intuitive

Space is a word used to mean ordinary space, that is, the universe we live in.

The intuitive belief is that space is 3-dimensional and therefore isomorphic to the real vector space $\R^3$.

Source

• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): space