Isotopy may refer to:
Mathematics
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Homotopy#Isotopy, a continuous path of homeomorphisms connecting two given homeomorphisms is an isotopy of the two given homeomorphisms in homotopy
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Regular isotopy
The term regular can mean normal or in accordance with rules. It may refer to:
People
* Moses Regular (born 1971), America football player
Arts, entertainment, and media Music
* "Regular" (Badfinger song)
* Regular tunings of stringed instrumen ...
of a link diagram, an equivalence relation in knot theory
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Ambient isotopy
In the mathematical subject of topology, an ambient isotopy, also called an ''h-isotopy'', is a kind of continuous distortion of an ambient space, for example a manifold, taking a submanifold to another submanifold. For example in knot theory, one ...
(or h-isotopy), two subsets of a fixed topological space are ambient isotopic if there is a homeomorphism, isotopic to the identity map of the ambient space, which carries one subset to the other
*Isotopy of quasigroups. See
Quasigroup#Homotopy and isotopy.
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Isotopy of loops In the mathematical field of abstract algebra, isotopy is an equivalence relation used to classify the algebraic notion of loop.
Isotopy for loops and quasigroups was introduced by , based on his slightly earlier definition of isotopy for algebra ...
, a triple of maps with certain properties.
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Isotopy of an algebra In mathematics, an isotopy from a possibly non-associative algebra ''A'' to another is a triple of bijective linear maps such that if then . This is similar to the definition of an isotopy of loops, except that it must also preserve the linear str ...
, a triple of maps with certain properties.
Semiotics
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Isotopy, a repetition of a basic meaning-trait (seme); the direction taken by an interpretation of the text
See also
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Isotopic (disambiguation)
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Isotope (disambiguation)
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