homotopy

homotopy
ho·mot·o·py

English syllables. 2014.

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  • homotopy — /heuh mot euh pee, hoh /, n., pl. homotopies. Math. the relation that exists between two mappings in a topological space if one mapping can be deformed in a continuous way to make it coincide with the other. [1915 20; HOMO + topy ( < Gr tóp(os)… …   Universalium

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  • Homotopy category — In mathematics, a homotopy category is a category whose objects are topological spaces and whose morphisms are homotopy classes of continuous functions. The homotopy category of all topological spaces is often denoted hTop or Toph.Homotopy… …   Wikipedia

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  • Homotopy extension property — In mathematics, in the area of algebraic topology, the homotopy extension property indicates when a homotopy can be extended to another one, so that the original homotopy is simply the restriction of the extended homotopy.DefinitionGiven A subset …   Wikipedia

  • Homotopy to Marie — Infobox Album Name = Homotopy to Marie Type = Album Artist = Nurse With Wound Released = 1982 Recorded = 1981 82 Genre = Industrial, Experimental Length = 65:30 Label = United Dairies Producer = Steven Stapleton Reviews = *Allmusic (3.5/5)… …   Wikipedia

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  • Homotopy fiber — In mathematics, especially homotopy theory, the homotopy fiber is part of a construction of associating to an arbitrary continuous function of topological spaces f colon A o B a fibration.In particular, given such a map, define E f to be the set… …   Wikipedia

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