Rational homotopy theory
In mathematics and specifically in topology, rational homotopy theory is a simplified version of homotopy theory for topological spaces, in which all torsion in the homotopy groups is ignored. It was founded by Dennis Sullivan and Daniel Quillen . This simplification of homotopy theory makes calculations much easier. Rational homotopy types of simply connected spaces can be identified with (isomorphism classes of) certain algebraic objects called Sullivan minimal models, which are commutative differential graded algebras over the rational numbers satisfying certain conditions.
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Atiyah–Hirzebruch spectral sequenceDaniel QuillenDennis SullivanDifferential graded Lie algebraFormal spaceGlossary of algebraic topologyHalperin conjectureHomotopy theoryHopf invariantIsmar VolićKähler manifoldMinimal Sullivan algebraMinimal Sullivan modelMinimal modelNilmanifoldNilpotent spaceOperadPolynomial differential formQuaternionic projective spaceRational homotopyRational homotopy typeRationalization (algebraic topology)Sullivan algebraSullivan minimal modelSullivan modelTopologically nilpotent
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Rational homotopy theory
In mathematics and specifically in topology, rational homotopy theory is a simplified version of homotopy theory for topological spaces, in which all torsion in the homotopy groups is ignored. It was founded by Dennis Sullivan and Daniel Quillen . This simplification of homotopy theory makes calculations much easier. Rational homotopy types of simply connected spaces can be identified with (isomorphism classes of) certain algebraic objects called Sullivan minimal models, which are commutative differential graded algebras over the rational numbers satisfying certain conditions.
has abstract
In mathematics and specificall ...... ef Gromoll and Wolfgang Meyer.
@en
Рациональная теория гомотопий ...... иональной теории гомотопий — .
@ru
在数学中,有理同伦论是对拓扑空间的有理同伦型的研究;粗略地说 ...... 理数域上的可交换微分分次代数。 有理同伦论的标准教材是()。
@zh
호모토피 이론에서, 설리번 대수(Sullivan代數, ...... tional homotopy theory)이라고 한다.
@ko
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authorlink
Daniel Quillen
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Dennis Sullivan
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first
Daniel
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Dennis
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id
R/r077600
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last
Quillen
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Sullivan
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title
Rational homotopy theory
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yes
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In mathematics and specificall ...... satisfying certain conditions.
@en
Рациональная теория гомотопий ...... иональной теории гомотопий — .
@ru
在数学中,有理同伦论是对拓扑空间的有理同伦型的研究;粗略地说 ...... 理数域上的可交换微分分次代数。 有理同伦论的标准教材是()。
@zh
호모토피 이론에서, 설리번 대수(Sullivan代數, ...... tional homotopy theory)이라고 한다.
@ko
label
Rational homotopy theory
@en
Рациональная теория гомотопий
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有理同伦论
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설리번 대수
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