About: Homotopy theory

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Attributs	Valeurs
type	Concept
rdfs:seeAlso	Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc.
skos:inScheme	MSC 2010
broader concept	Algebraic topology
narrower concept	Homotopy extension properties, cofibrations Homotopy equivalences Classification of homotopy type Eilenberg-Mac Lane spaces Spanier-Whitehead duality Eckmann-Hilton duality Loop spaces Suspensions Stable homotopy theory, spectra 具有附加结构的谱(<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$E_\infty$"><mml:msub><mml:mi>E</mml:mi><mml:mi>∞</mml:mi></mml:msub></mml:math>、<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$A_\infty$"><mml:msub><mml:mi>A</mml:mi><mml:mi>∞</mml:mi></mml:msub></mml:math>、环谱等) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ H$"><mml:mi>H</mml:mi></mml:math>-spaces and duals Infinite loop spaces Loop space machines, operads String topology Shape theory Proper homotopy theory Localization and completion Rational homotopy theory Homotopy functors Equivariant homotopy theory Relations between equivariant and nonequivariant homotopy theory None of the above, but in MSC2010 section 55Pxx
skos:prefLabel	Homotopy theory 同伦理论(简单同伦型, 见57Q10)
skos:altLabel	Homotopy theory {For simple homotopy type see 57Q10}
http://msc2010.org...#seeConditionally	Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc.
http://msc2010.org...10/msc2010#seeFor	http://msc2010.org/resources/MSC/2010/55Pxx-to-57Q10-seeFor
skos:closeMatch	from MSC1991 value of: Homotopy theory, {For simple homotopy type, See 57Q10} from MSC2000 value of: Homotopy theory {For simple homotopy type, see 57Q10}
skos:notation	55Pxx
skos:note	For simple homotopy type, see 57Q10.
skos:relatedMatch	http://msc2010.org/resources/MSC/2010/fullDD21-514.24
skos:semanticRelation	Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc.
is broader concept of	Homotopy extension properties, cofibrations Homotopy equivalences Classification of homotopy type Eilenberg-Mac Lane spaces Spanier-Whitehead duality Eckmann-Hilton duality Loop spaces Suspensions Stable homotopy theory, spectra 具有附加结构的谱(<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$E_\infty$"><mml:msub><mml:mi>E</mml:mi><mml:mi>∞</mml:mi></mml:msub></mml:math>、<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$A_\infty$"><mml:msub><mml:mi>A</mml:mi><mml:mi>∞</mml:mi></mml:msub></mml:math>、环谱等) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ H$"><mml:mi>H</mml:mi></mml:math>-spaces and duals Infinite loop spaces Loop space machines, operads String topology Shape theory Proper homotopy theory Localization and completion Rational homotopy theory Homotopy functors Equivariant homotopy theory Relations between equivariant and nonequivariant homotopy theory None of the above, but in MSC2010 section 55Pxx
is narrower concept of	Algebraic topology
is http://msc2010.org...msc2010#forSource of	http://msc2010.org/resources/MSC/2010/55Pxx-to-57Q10-seeFor

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