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Hyperspace




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 higher than 3, 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 {Link without Title} 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.