topology
topology - English
Pronunciation
- (Received Pronunciation) IPA: /təˈpɒləd͡ʒi/
- (General American) IPA: /təˈpɑləd͡ʒi/
Noun
topology (countable and uncountable, plural topologies)
- (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.
Synonyms
- (branch of mathematics): analysis situs (obsolete), geometria situs (obsolete)
Hypernyms
- (collection of subsets): pi-system, π-system
Meronyms
Holonyms
Derived terms
- Alexandrov topology
- algebraic topology
- bus topology
- cofinite topology
- differential topology
- discrete topology
- disjoint union topology
- ditopology
- electrotopology
- geometric topology
- Grothendieck topology
- heterotopology
- hypertopology
- link topology
- mereotopology
- microtopology
- nanotopology
- network topology
- point-set topology
- pointless topology
- pretopology
- product topology
- psychotopology
- relative topology
- retopology
- ring topology
- standard topology
- star topology
- subspace topology
- subtopology
- trivial topology
- Zariski topology
Related terms
Translations
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