# Rational Hopf G-spaces with two nontrivial homotopy group systems

Fundamenta Mathematicae (1995)

- Volume: 146, Issue: 2, page 101-106
- ISSN: 0016-2736

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topDoman, Ryszard. "Rational Hopf G-spaces with two nontrivial homotopy group systems." Fundamenta Mathematicae 146.2 (1995): 101-106. <http://eudml.org/doc/212054>.

@article{Doman1995,

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.},

author = {Doman, Ryszard},

journal = {Fundamenta Mathematicae},

keywords = {rational homotopy theory; Bredon cohomology},

language = {eng},

number = {2},

pages = {101-106},

title = {Rational Hopf G-spaces with two nontrivial homotopy group systems},

url = {http://eudml.org/doc/212054},

volume = {146},

year = {1995},

}

TY - JOUR

AU - Doman, Ryszard

TI - Rational Hopf G-spaces with two nontrivial homotopy group systems

JO - Fundamenta Mathematicae

PY - 1995

VL - 146

IS - 2

SP - 101

EP - 106

AB - 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.

LA - eng

KW - rational homotopy theory; Bredon cohomology

UR - http://eudml.org/doc/212054

ER -

## References

top- [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. Zbl0163.28202
- [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. Zbl0516.55010
- [5] G. W. Triantafillou, Rationalization of Hopf G-spaces, Math. Z. 182 (1983), 485-500. Zbl0518.55008

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