homotopy invariant - translation to russian
Diclib.com
ChatGPT AI Dictionary
Enter a word or phrase in any language 👆
Language:

Translation and analysis of words by ChatGPT artificial intelligence

On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:

  • how the word is used
  • frequency of use
  • it is used more often in oral or written speech
  • word translation options
  • usage examples (several phrases with translation)
  • etymology

homotopy invariant - 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
  • paths]] shown above are homotopic relative to their endpoints. The animation represents one possible homotopy.
  • isotopy]].

homotopy invariant         

математика

гомотопический инвариант

homotopy class         

математика

гомотопический класс

null homotopic         

математика

гомотопный нулю

гомотопически тривиальный

Definition

invariant
<programming> A rule, such as the ordering of an ordered list or heap, that applies throughout the life of a data structure or procedure. Each change to the data structure must maintain the correctness of the invariant. (1996-03-12)

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.

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