Download PDF - Rational Hopf G-spaces with two nontrivial homotopy group systemsAll rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

Rational Hopf G-spaces with two nontrivial homotopy group systems

Authors 1

Affiliations

  1. Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland

Abstract

Let G be a finite group. We prove that every rational G-connected Hopf G-space with two nontrivial homotopy group systems is G-homotopy equivalent to an infinite loop G-space.

Bibliography

  1. G. E. Bredon, Equivariant Cohomology Theories, Lecture Notes in Math. 34, Springer, 1967.
  2. J. W. Milnor and J. C. Moore, On the structure of Hopf algebras, Ann. of Math. 81 (1965), 211-264.
  3. H. Scheerer, On rationalized H- and co-H-spaces, Manuscripta Math. 51 (1984), 63-87.
  4. G. W. Triantafillou, Equivariant minimal models, Trans. Amer. Math. Soc. 274 (1982), 509-532.
  5. G. W. Triantafillou, Rationalization of Hopf G-spaces, Math. Z. 182 (1983), 485-500.

Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm146/fm14621.pdf

Fundamenta Mathematicae
1994-1995/146/2
Export to PBN, Opens in new tab
Pages:
101-106
Main language of publication
English
Received
1992-09-02
Accepted
1994-03-15
Published
1995
Exact and natural sciences