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continuous homotopy - translation to russian

CONTINUOUS DEFORMATION BETWEEN TWO CONTINUOUS MAPS

Homotopic; Homotopy equivalent; Homotopy equivalence; Homotopy invariant; Homotopy class; Null-homotopic; Homotopy type; Nullhomotopic; Homotopy invariance; Homotopy of maps; Homotopically equivalent; Homotopic maps; Homotopy of paths; Homotopical; Homotopy classes; Null-homotopy; Null homotopy; Nullhomotopic map; Null homotopic; Relative homotopy; Homotopy retract; Continuous deformation; Relative homotopy class; Homotopy-equivalent; Homotopy extension and lifting property; Isotopy (topology); Homotopies

continuous homotopy

математика

непрерывная гомотопия

homotopy class

математика

гомотопический класс

null homotopic

математика

гомотопный нулю

гомотопически тривиальный

Definition

continuous function

A function f : D -> E, where D and E are cpos, is continuous if it is monotonic and f (lub Z) = lub f z | z in Z for all directed sets Z in D. In other words, the image of the lub is the lub of any directed image. All additive functions (functions which preserve all lubs) are continuous. A continuous function has a {least fixed point} if its domain has a least element, bottom (i.e. it is a cpo or a "pointed cpo" depending on your definition of a cpo). The least fixed point is fix f = lub f^n bottom | n = 0..infinity (1994-11-30)

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Wikipedia

Homotopy

In topology, a branch of mathematics, two continuous functions from one topological space to another are called homotopic (from Ancient Greek: ὁμός homós "same, similar" and τόπος tópos "place") if one can be "continuously deformed" into the other, such a deformation being called a homotopy (, hə-MO-tə-pee; , HOH-moh-toh-pee) between the two functions. A notable use of homotopy is the definition of homotopy groups and cohomotopy groups, important invariants in algebraic topology.

In practice, there are technical difficulties in using homotopies with certain spaces. Algebraic topologists work with compactly generated spaces, CW complexes, or spectra.

https://en.wikipedia.org/wiki/Homotopy

What is the Russian for continuous homotopy? Translation of &#39continuous homotopy&#39 to Russian