Journals / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 6
On the equivariant cohomology algebra for solenoidal actions
- Pages
- 1081–1089
- DOI
- —
Abstract
We prove, under certain conditions, that if a solenoidal group (i.e. 1-dimensional compact connected abelian group) acts effectively on a compact space then the fixed point set is nonempty and HG*(X,Q) has a presentation similar to the presentation of H*(X,Q) as proven by Chang in the case of a circle group.
Özet
We prove, under certain conditions, that if a solenoidal group (i.e. 1-dimensional compact connected abelian group) acts effectively on a compact space then the fixed point set is nonempty and HG*(X,Q) has a presentation similar to the presentation of H*(X,Q) as proven by Chang in the case of a circle group.