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topology

From Wiktionary, the free dictionary

English

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EnglishWikipedia has an article on:
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Etymology

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FromLate Latintopologia, fromAncient Greekτόπος(tópos,place, locality) +-(o)logy(study of, a branch of knowledge).

Pronunciation

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Noun

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topology (countable anduncountable,pluraltopologies)

  1. (mathematics, uncountable) The branch of mathematics dealing with thoseproperties of ageometricalobject (of arbitrary dimensionality) that are unchanged bycontinuousdeformations (such asstretching,bending, etc., without tearing or gluing).
    • 1970 [Addison-Wesley], Stephen Willard,GeneralTopology, 2012, Dover,page v,
      This book is designed to develop the fundamental concepts of generaltopology which are the basic tools of working mathematicians in a variety of fields.
    • 1974 [Crane, Russak & Co.], H. Graham Flegg,From Geometry toTopology, 2001, Dover,page v,
      Many university courses intopology plunge immediately into a formalized and entirely abstract presentation of topological concepts.
  2. (topology) Any collectionτ of subsets of a given setX that contains both theempty set andX, and which isclosed underfinitaryintersections andarbitraryunions.
    A setX{\displaystyle X} equipped with atopologyτ{\displaystyle \tau } is called atopological space and denoted(X,τ){\displaystyle (X,\tau )}.
    The subsets of a setX{\displaystyle X} which constitute atopology are called theopen sets ofX{\displaystyle X}.
  3. (medicine) Theanatomicalstructure of part of the body.
  4. (computing) Thearrangement ofnodes in acommunicationsnetwork.
  5. (technology) The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
  6. (topography) The topographical study of geographic locations or given places in relation to their history.
  7. (dated) The art of, or method for, assisting thememory by associating the thing or subject to be remembered with some place.

Synonyms

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Hypernyms

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Meronyms

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Holonyms

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Derived terms

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Related terms

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Translations

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study of geometric properties that are not changed by stretching etc.
anatomical structure
arrangements of computer nodes

See also

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Further reading

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Anagrams

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