LOOPS OF H-SPACES WITH FINITELY GENERATED COHOMOLOGY RINGS

被引：6

作者：

LIN, JP ^{[1
]}

机构：

[1] UNIV CALIF SAN DIEGO,DEPT MATH,LA JOLLA,CA 92093

来源：

TOPOLOGY AND ITS APPLICATIONS | 1994年 / 60卷 / 02期

关键词：

SECONDARY OPERATION; SUSPENSION; HOPF ALGEBRA;

D O I：

10.1016/0166-8641(94)00007-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a simply connected a(p)-space. The mod p cohomology rings of Omega X are studied. When these rings are finitely generated as algebras, Omega X has the mod p homotopy type of a generalized Eilenberg-MacLane space. If X is just an H-space with H*(Omega X; Z(p)) finitely generated as an algebra, H*(Omega X; Z(p)) is still primitively generated free commutative.

引用

页码：131 / 152

页数：22

共 50 条

[1] H-SPACES WITH FINITELY GENERATED COHOMOLOGY ALGEBRAS
LIN, JP
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 80 (06) : 1233 - 1238
[2] Loop spaces of H-spaces with finitely generated cohomology
Kawamoto, Y
PACIFIC JOURNAL OF MATHEMATICS, 1999, 190 (02) : 311 - 328
[3] Homotopy commutativity of H-spaces with finitely generated cohomology
Kawamoto, Y
Lin, JP
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 353 (11) : 4481 - 4496
[4] Higher homotopy commutativity of H-spaces with finitely generated cohomology
Kawamoto, Y
PACIFIC JOURNAL OF MATHEMATICS, 2002, 204 (01) : 145 - 161
[5] A CLASSIFICATION THEOREM FOR HOMOTOPY COMMUTATIVE H-SPACES WITH FINITELY GENERATED MOD-2 COHOMOLOGY RINGS
SLACK, M
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 92 (449) : R1 - &
[6] Classification theorems for cohomology rings of finite H-spaces
Nishimura, O
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2003, 43 (01): : 187 - 202
[7] Spaces with finitely generated cohomology
Dydak, J
TOPOLOGY AND ITS APPLICATIONS, 2002, 120 (1-2) : 205 - 209
[8] Cohomology rings of 3-local finite H-spaces
Hemmi, Y
Lin, JP
JOURNAL OF PURE AND APPLIED ALGEBRA, 2002, 167 (01) : 1 - 14
[9] COHOMOLOGY OF CLASSIFYING SPACES OF H-SPACES
ROTHENBERG, M
STEENROD, NE
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 71 (06) : 872 - +
[10] IMPLICATIONS IN COHOMOLOGY OF H-SPACES
ZABRODSK.A
ILLINOIS JOURNAL OF MATHEMATICS, 1970, 14 (03) : 363 - &

← 1 2 3 4 5 →