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View synonyms for topology

topology

[ tuh-pol-uh-jee ]

noun

, Mathematics.
, plural to·pol·o·gies
  1. the study of those properties of geometric forms that remain invariant under certain transformations, as bending or stretching.
  2. Also called point set to·pol·o·gy. the study of limits in sets considered as collections of points.
  3. a collection of open sets making a given set a topological space.


topology

/ ˌtɒpəˈlɒdʒɪk; təˈpɒlədʒɪ /

noun

  1. the branch of mathematics concerned with generalization of the concepts of continuity, limit, etc
  2. a branch of geometry describing the properties of a figure that are unaffected by continuous distortion, such as stretching or knotting Former nameanalysis situs
  3. maths a family of subsets of a given set S, such that S is a topological space
  4. the arrangement and interlinking of computers in a computer network
  5. the study of the topography of a given place, esp as far as it reflects its history
  6. the anatomy of any specific bodily area, structure, or part
“Collins English Dictionary — Complete & Unabridged” 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

topology

/ tə-pŏlə-jē /

  1. The mathematical study of the geometric properties that are not normally affected by changes in the size or shape of geometric figures. In topology, a donut and a coffee cup with a handle are equivalent shapes, because each has a single hole.
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Derived Forms

  • topologic, adjective
  • ˌtopoˈlogically, adverb
  • toˈpologist, noun
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Other Words From

  • top·o·log·ic [top-, uh, -, loj, -ik], top·o·log·i·cal adjective
  • top·o·log·i·cal·ly adverb
  • to·pol·o·gist noun
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Word History and Origins

Origin of topology1

First recorded in 1650–60; topo- + -logy
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Example Sentences

These principles are governed by the nuanced interplay of stitch patterns, geometry, and yarn topology -- the undercrossings or overcrossings in a knot or stitch.

"Qin and I showed that using topology," Palmerduca said, "we can modify Wigner's classification for massless particles, giving a description of photons that works in all directions at the same time."

COFs are a new class of porous, crystalline, purely organic materials with defined topology.

That kept the values random -- but random within limits given by constraints of the network topology.

However, a novel approach in the current research involves the consideration of polymer topology -- the spatial arrangement and structure of molecules -- by using ring polymers.

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