Rational Hopf G-spaces with two nontrivial homotopy group systems

• Autorzy: Ryszard Doman
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 55P45: H -spaces and duals
• 55P91: Equivariant homotopy theory
• 55P62: Rational homotopy theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1994-1995
• Tom: 146
• Numer: 2
• Strony: 101-106

Daty

wydano

1995

otrzymano

1992-09-02

poprawiono

1994-03-15

Twórcy

autor

Ryszard Doman

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

Bibliografia

• [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.