ABSTRACT

For each odd prime p a simply connected finite H-space is constructed

with p-torsion in homology. Implications of the examples for the theory

of finite H-spaces are examined. Applications of the techniques used

for the main results are given to mod p decomposition problems. An

extensive review of the theory of unstable Adams resolutions is provided.

AMS(MOS) subject classifications (1970).

Primary 55P^5, 55S35, 55S^5, 55U99

Secondary 55P15, 55P60, 55R05, 55T15

Library of Congress Cataloging in Publication Data

Harper, John R 19^1-

H-spaces with torsion.

(Memoirs of the American Mathematical Society ;

no. 223)

"Volume 22."

Includes index.

1. H-spaces. 2 . Obstruction theory . 3- Torsion

theory (Algebra) I . T i t l e . I I . Series : American

Mathematical Society . Memoirs ; no. 223.

QA3.A57 no. 223 [QA612.77] 510'.8 s [51V.22U]

ISBN 0-8218-2223-3 79-21166

Copyright © 1979, American Mathematical Society