Hyperspace

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Look up hyperspace in Wiktionary, the free dictionary.

Hyperspace may refer to:

Hyperspace also sounds similar to several terms used in mathematics, the term hyper often being used to refer to higher dimensional constructs:

  • Hyperspace, a Euclidean space of dimension greater than three. (The term was common in late nineteenth century British books, sometimes in the context of paranormal fantasies, but has become rarer since then.)
  • In topology a hyperspace is a topological space whose elements are subsets of another topological space.
  • Hyperplane, an affine subspace of codimension one in such a space.
  • Hypersphere, a round sphere dimension 3 or higher, especially if embedded in such a space.
  • Hypersurface, a submanifold of codimension one, especially if embedded in such a space. This term includes hypersphere and hyperplane as special cases.
  • Tesseract, also known as a hypercube, a cube [0,1]d, where d> 3. The word tesseract was used, especially in nineteenth and early twentieth century British semi-popular books on mathematics, to denote the special case d = 4.
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