Definitions for topologytəˈpɒl ə dʒi

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Random House Webster's College Dictionary

to•pol•o•gytəˈpɒl ə dʒi(n.)

  1. the mathematical study of those properties of geometric forms that remain invariant under certain transformations, as bending or stretching.

    Category: Math

  2. the topography of a place or entity.

Origin of topology:

1650–60

to•pol′o•gist(n.)

Princeton's WordNet

  1. topology(noun)

    topographic study of a given place (especially the history of the place as indicated by its topography)

    "Greenland's topology has been shaped by the glaciers of the ice age"

  2. regional anatomy, topographic anatomy, topology(noun)

    the study of anatomy based on regions or divisions of the body and emphasizing the relations between various structures (muscles and nerves and arteries etc.) in that region

  3. topology, analysis situs(noun)

    the branch of pure mathematics that deals only with the properties of a figure X that hold for every figure into which X can be transformed with a one-to-one correspondence that is continuous in both directions

  4. topology, network topology(noun)

    the configuration of a communication network

Wiktionary

  1. topology(Noun)

    A branch of mathematics studying those properties of a geometric figure or solid that are not changed by stretching, bending and similar homeomorphisms.

  2. topology(Noun)

    A collection u03C4 of subsets of a set X such that the empty set and X are both members of u03C4 and u03C4 is closed under arbitrary unions and finite intersections.

  3. topology(Noun)

    The anatomical structure of part of the body.

  4. topology(Noun)

    The arrangement of nodes in a communications network.

  5. topology(Noun)

    The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.

  6. topology(Noun)

    (topography) The topographical study of geographic locations or given places in relation to its history.

Webster Dictionary

  1. Topology(noun)

    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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