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

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