topology

IPA: tʌpˈɔɫʌdʒi

noun

  • (mathematics, uncountable) The branch of mathematics dealing with those properties of a geometrical object (of arbitrary dimensionality) that are unchanged by continuous deformations (such as stretching, bending, etc., without tearing or gluing).
  • (topology) Any collection τ of subsets of a given set X that contains both the empty set and X, and which is closed under finitary intersections and arbitrary unions.
  • (medicine) The anatomical structure of part of the body.
  • (computing) The arrangement of nodes in a communications network.
  • (technology) The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
  • (topography) The topographical study of geographic locations or given places in relation to their history.
  • (dated) The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.
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Examples of "topology" in Sentences

  • Refer to the topology in the graphic.
  • The induced topology is the indiscrete topology.
  • The definitions are motivated by the topology of this space.
  • In topology, a locally connected dendroid is called a dendrite.
  • The extent of the effect depends on the topology of the amplifier.
  • The orthogonal complement is always closed in the metric topology.
  • This is one instance of the geometric unsuitability of the Zariski topology.
  • The actual entry on the conjecture is part of the topology entry and is correct.
  • The mug serves as one of the most popular examples of homeomorphism in topology.

Related Links

synonyms for topologydescribing words for topology
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