homotopy
A continuous deformation of one continuous function or map to anotherA continuous deformation of one continuous function or map to another.
Meaning
4 senses(countable, uncountable)A continuous deformation of one continuous function or map to another.
The concept of homotopy represents a formalisation of the intuitive idea of a smooth deformation of one curve into another.
гомотопіяhomotopija
(uncountable)The relationship between two continuous functions where homotopy from one to the other is evident.
(countable, uncountable)A theory associating a system of groups with each topological space.
(countable, uncountable)A system of groups associated with a topological space.
Translations
4 languagesBy meaning 1
Origin
From Ancient Greek ὁμός (homós, “same, similar”) + τόπος (tópos, “place”); earliest knownFrom Ancient Greek ὁμός (homós, “same, similar”) + τόπος (tópos, “place”); earliest known use in print in 1922, Oswald Veblen, Analysis Situs.
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Forms
plural: homotopies| Singular | homotopy |
|---|---|
| Plural | homotopies |
regular
Word family
4 related wordsLessons for this word
1 lessons- A1Countable and uncountable nouns — Because it can be uncountable