Homotopy
In topology, two continuous functions from one topological space to another are called homotopic (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 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.
Continuous deformationHomotopicHomotopic mapsHomotopicalHomotopically equivalentHomotopy-equivalentHomotopy classHomotopy classesHomotopy equivalenceHomotopy equivalentHomotopy invarianceHomotopy invariantHomotopy of mapsHomotopy of pathsHomotopy retractHomotopy theoryHomotopy typeNull-homotopicNull-homotopyNull homotopicNull homotopyNullhomotopicNullhomotopic mapRelative homotopyRelative homotopy class
Wikipage redirect
hypernym
seeAlso
differentFrom
primaryTopic
Homotopy
In topology, two continuous functions from one topological space to another are called homotopic (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 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.
has abstract
Em topologia, homotopia significa deformação de uma aplicação entre espaços topológicos.
@pt
En topología, y más precisamen ...... rse continuamente" en la otra.
@es
Homotopia – ciągłe przejście m ...... wnoważności (klasy homotopii).
@pl
In de topologie, die eigenscha ...... in de algebraïsche topologie.
@nl
In der Topologie ist eine Homo ...... er Kurve in eine andere Kurve.
@de
In topologia, due funzioni con ...... elle funzioni continue da ad .
@it
In topology, two continuous fu ...... ces, CW complexes, or spectra.
@en
L'homotopie est une notion de ...... eux parties de mesures égales.
@fr
Гомото́пия — семейство непреры ...... точное определение дано ниже.
@ru
في علم الطوبولوجيا, إذا كان هن ...... اليو (CW complex), أو الأطياف.
@ar
thumbnail
Link from a Wikipage to an external page
Wikipage page ID
Wikipage revision ID
729,049,466
id
title
type
comment
Em topologia, homotopia significa deformação de uma aplicação entre espaços topológicos.
@pt
En topología, y más precisamen ...... rse continuamente" en la otra.
@es
Homotopia – ciągłe przejście m ...... wnoważności (klasy homotopii).
@pl
In de topologie, die eigenscha ...... in de algebraïsche topologie.
@nl
In der Topologie ist eine Homo ...... er Kurve in eine andere Kurve.
@de
In topologia, due funzioni con ...... opia fra le due funzioni. ad .
@it
In topology, two continuous fu ...... ces, CW complexes, or spectra.
@en
L'homotopie est une notion de ...... 'autres objets que des lacets.
@fr
Гомото́пия — семейство непреры ...... точное определение дано ниже.
@ru
في علم الطوبولوجيا, إذا كان هن ...... لجبرية في الطوبولوجيا الجبرية.
@ar
label
Homotopia
@pl
Homotopia
@pt
Homotopie
@de
Homotopie
@fr
Homotopie-equivalentie
@nl
Homotopy
@en
Homotopía
@es
Omotopia
@it
Гомотопия
@ru
مثلية التوضع
@ar