The concept of homotopy represents a formalisation of the intuitive idea of a smooth deformation of one curve into another.
Source: wiktionary
Homotopy
//həˈmɑtəpi//
Synonyms for "homotopy"
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2 entriesRelated terms
3 entriesderived
16 entrieshas context
1 entriesis a
1 entriesrelated to
6 entriesTranslations
19 translations across 12 languages.
Danish
1 entries- homotopi noun ((topology) continuous deformation of one continuous function to another)
French
3 entries- homotopie noun ((topology) continuous deformation of one continuous function to another)
- homotopie noun ((topology) theory associating a system of groups with each topological space)
- homotopie noun ((topology) system of groups associated with a topological space)
Greek
1 entries- ομοτοπία noun ((topology) continuous deformation of one continuous function to another)
Hungarian
3 entries- homotópia noun ((topology) continuous deformation of one continuous function to another)
- homotópia noun ((topology) theory associating a system of groups with each topological space)
- homotópia noun ((topology) system of groups associated with a topological space)
Icelandic
1 entries- samtogun noun ((topology) continuous deformation of one continuous function to another)
Japanese
1 entries- ホモトピー noun ((topology) continuous deformation of one continuous function to another)
Korean
2 entries- 연속 변형 함수 noun ((topology) continuous deformation of one continuous function to another)
- 호모토피 noun ((topology) continuous deformation of one continuous function to another)
Persian
1 entries- هموتوپی noun ((topology) continuous deformation of one continuous function to another)
Portuguese
1 entries- homotopia noun ((topology) continuous deformation of one continuous function to another)
Spanish
3 entries- homotopía noun ((topology) continuous deformation of one continuous function to another)
- homotopía noun ((topology) theory associating a system of groups with each topological space)
- homotopía noun ((topology) system of groups associated with a topological space)
Ukrainian
1 entries- гомотопія noun ((topology) continuous deformation of one continuous function to another)
Vietnamese
1 entries- đồng luân noun ((topology) continuous deformation of one continuous function to another)
Sample sentences
4 total sentences available.
An integer M is called an exponent for the torsion of an abelian group G if M * (torsion of G) = 0. We say that M is a homotopy exponent for a space X if M is an exponent for πₖ (X) for all k.
Source: wiktionary
A graded Lie algebra arises from these maps via the Samelson product in homotopy, the so-called homotopy Lie algebra which is discussed below.
Source: wiktionary
2010, Vladimir G. Turaev, Homotopy Quantum Field Theory, European Mathematical Society, page xi, In this monograph we apply the idea of a TQFT to maps from manifolds to topological spaces. This leads us to a notion of a (d + 1)-dimensional homotopy quantum field theory (HQFT) which may be described as a TQFT for closed oriented d-dimensional manifolds and compact oriented (d + 1)-dimensional cobordisms endowed with maps to a given space X.
Source: wiktionary
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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.