Non-simply connected H-spaces with finiteness conditions

Carles Broto; Juan A. Crespo; Laia Saumell

Non-simply connected H-spaces with finiteness conditions

Carles Broto, Juan A. Crespo, Laia Saumell

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

2 Citations (Scopus)

Abstract

This article is concerned with homotopy properties of H-spaces X that are reflected in the module of indecomposables QH*(X;double stroke F signp). It is shown that mod p H-spaces X of finite type with finite transcendence degree mod p cohomology and locally finite QH*(X;double stroke F signp) are Bℤ/p-null spaces, Eilenberg-MacLane spaces K(ℤ̂p, 2), K(ℤ/pr, 1), and extensions of those. If we restrict attention to H-spaces with noetherian mod p cohomology algebra, then we are left with finite mod p H-spaces and Eilenberg-MacLane spaces. © 2001 Cambridge Philosophical Society.

Original language	English
Pages (from-to)	475-488
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	130
Issue number	3
Publication status	Published - 1 May 2001

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title = "Non-simply connected H-spaces with finiteness conditions",

abstract = "This article is concerned with homotopy properties of H-spaces X that are reflected in the module of indecomposables QH*(X;double stroke F signp). It is shown that mod p H-spaces X of finite type with finite transcendence degree mod p cohomology and locally finite QH*(X;double stroke F signp) are Bℤ/p-null spaces, Eilenberg-MacLane spaces K({\^ℤ}p, 2), K(ℤ/pr, 1), and extensions of those. If we restrict attention to H-spaces with noetherian mod p cohomology algebra, then we are left with finite mod p H-spaces and Eilenberg-MacLane spaces. {\textcopyright} 2001 Cambridge Philosophical Society.",

author = "Carles Broto and Crespo, {Juan A.} and Laia Saumell",

year = "2001",

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day = "1",

language = "English",

volume = "130",

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journal = "Mathematical Proceedings of the Cambridge Philosophical Society",

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T1 - Non-simply connected H-spaces with finiteness conditions

AU - Broto, Carles

AU - Crespo, Juan A.

AU - Saumell, Laia

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N2 - This article is concerned with homotopy properties of H-spaces X that are reflected in the module of indecomposables QH*(X;double stroke F signp). It is shown that mod p H-spaces X of finite type with finite transcendence degree mod p cohomology and locally finite QH*(X;double stroke F signp) are Bℤ/p-null spaces, Eilenberg-MacLane spaces K(ℤ̂p, 2), K(ℤ/pr, 1), and extensions of those. If we restrict attention to H-spaces with noetherian mod p cohomology algebra, then we are left with finite mod p H-spaces and Eilenberg-MacLane spaces. © 2001 Cambridge Philosophical Society.

AB - This article is concerned with homotopy properties of H-spaces X that are reflected in the module of indecomposables QH*(X;double stroke F signp). It is shown that mod p H-spaces X of finite type with finite transcendence degree mod p cohomology and locally finite QH*(X;double stroke F signp) are Bℤ/p-null spaces, Eilenberg-MacLane spaces K(ℤ̂p, 2), K(ℤ/pr, 1), and extensions of those. If we restrict attention to H-spaces with noetherian mod p cohomology algebra, then we are left with finite mod p H-spaces and Eilenberg-MacLane spaces. © 2001 Cambridge Philosophical Society.

M3 - Article

VL - 130

SP - 475

EP - 488

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 3

ER -