homotopy
An animation of one possible homotopy between the dashed lines
Meaning
Noun
- A continuous deformation of one continuous function or map to another.
- The relationship between two continuous functions where homotopy from one to the other is evident.
- A theory associating a system of groups with each topological space.
- A system of groups associated with a topological space.
Related
Narrower meaning words
- isotopy, regular homotopy
Origin
- From Ancient Greek ὁμός ("same, similar") + τόπος; earliest known use in print in 1922, Oswald Veblen, Analysis Situs.
Modern English dictionary
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