Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-25T01:23:54.929Z Has data issue: false hasContentIssue false
  • English
  • Français

Non-simply connected H-spaces with finiteness conditions

Published online by Cambridge University Press:  18 May 2001

CARLES BROTO ,
JUAN A. CRESPO  and
LAIA SAUMELL
CARLES BROTO
Affiliation:
Departament de Matemàtiques, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Spain. e-mail: [email protected]
JUAN A. CRESPO
Affiliation:
Centre de Recerca Matemàtica, Institut d'Estudis Catalans, E-08913 Bellaterra, Spain. e-mail: [email protected]
LAIA SAUMELL
Affiliation:
Departament de Matemàtiques, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Spain. e-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

This article is concerned with homotopy properties of H-spaces X that are reflected in the module of indecomposables QH*(X; [ ]p). It is shown that mod p H-spaces X of finite type with finite transcendence degree mod p cohomology and locally finite QH*(X; [ ]p) are Bℤ/p-null spaces, Eilenberg–MacLane spaces K(ℤˆp, 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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 130 , Issue 3 , May 2001 , pp. 475 - 488
Copyright
2001 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)