Deconstructing Hopf spaces

Natàlia Castellana; Juan A. Crespo; Jérôme Scherer

doi:10.1007/s00222-006-0518-8

Deconstructing Hopf spaces

Natàlia Castellana, Juan A. Crespo, Jérôme Scherer

Departament de Matemàtiques

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Resum

We characterize Hopf spaces with finitely generated cohomology as an algebra over the Steenrod algebra. We "deconstruct" the original space into an H-space Y with finite mod p cohomology and a finite number of p-torsion Eilenberg-Mac Lane spaces. We give a precise description of homotopy commutative H-spaces in this setting. © Springer-Verlag 2007.

Idioma original	Anglès
Pàgines (de-a)	1-18
Revista	Inventiones Mathematicae
Volum	167
Número	1
DOIs	https://doi.org/10.1007/s00222-006-0518-8
Estat de la publicació	Publicada - 1 de gen. 2007

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10.1007/s00222-006-0518-8

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title = "Deconstructing Hopf spaces",

abstract = "We characterize Hopf spaces with finitely generated cohomology as an algebra over the Steenrod algebra. We {"}deconstruct{"} the original space into an H-space Y with finite mod p cohomology and a finite number of p-torsion Eilenberg-Mac Lane spaces. We give a precise description of homotopy commutative H-spaces in this setting. {\textcopyright} Springer-Verlag 2007.",

author = "Nat{\`a}lia Castellana and Crespo, {Juan A.} and J{\'e}r{\^o}me Scherer",

year = "2007",

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journal = "Inventiones Mathematicae",

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AU - Crespo, Juan A.

AU - Scherer, Jérôme

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N2 - We characterize Hopf spaces with finitely generated cohomology as an algebra over the Steenrod algebra. We "deconstruct" the original space into an H-space Y with finite mod p cohomology and a finite number of p-torsion Eilenberg-Mac Lane spaces. We give a precise description of homotopy commutative H-spaces in this setting. © Springer-Verlag 2007.

AB - We characterize Hopf spaces with finitely generated cohomology as an algebra over the Steenrod algebra. We "deconstruct" the original space into an H-space Y with finite mod p cohomology and a finite number of p-torsion Eilenberg-Mac Lane spaces. We give a precise description of homotopy commutative H-spaces in this setting. © Springer-Verlag 2007.

U2 - 10.1007/s00222-006-0518-8

DO - 10.1007/s00222-006-0518-8

M3 - Article

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VL - 167

SP - 1

EP - 18

JO - Inventiones Mathematicae

JF - Inventiones Mathematicae

IS - 1

ER -

Deconstructing Hopf spaces

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