Definition:Space

Disambiguation

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Space may refer to:

• Set Theory:
  • Abstract Space

• Mapping Theory:
  • Cartesian Space

• Topology:
  • Topological Space
  • Hausdorff Space
  • Metric Space

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

• Group Theory and Crystallography:
  • Space Group: another term for Fedorov group.

• Physics:
  • Spacetime: a mathematical model that combines space and time into a single object.

• Geometry:
  • Space Coordinates: a coordinate system that determines the position of a point in ordinary $3$-space.
  • Space Curve: a curve which is embedded in $3$-space, and may or may not be a skew curve.
  • Space-Filling Curve: a continuous curve that completely fills a region of the plane.

Also see

• 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