English English Russian Русский
  • English English
  • Russian Russian
  • English English
  • Russian Russian
en

Nullhomotopic

UK
/nʌl.həʊ.məʊˈtɒp.ɪk/
US
/nʌl.hoʊ.məˈtɑp.ɪk/
ru

Translation nullhomotopic into russian

nullhomotopic
Adjective
raiting
UK
/nʌl.həʊ.məʊˈtɒp.ɪk/
US
/nʌl.hoʊ.məˈtɑp.ɪk/
The loop in the topological space is nullhomotopic.
Петля в топологическом пространстве является нулегомотопической.

Definitions

nullhomotopic
Adjective
raiting
UK
/nʌl.həʊ.məʊˈtɒp.ɪk/
US
/nʌl.hoʊ.məˈtɑp.ɪk/
In mathematics, particularly in the field of algebraic topology, a continuous map (usually a loop or path) is described as nullhomotopic if it can be continuously deformed (homotoped) to a constant map, meaning it can be shrunk to a point within the given space.
The loop on the surface of the sphere is nullhomotopic because it can be contracted to a point without leaving the surface.