THE BOREL-HSIANG-QUILLEN LOCALIZATION THEOREM FOR COMPACT GROUP ACTIONS ON COMPACT SPACES
Abstract
In this article, we will study the equivariant cohomology theory for actions of compact group (not necessarily Lie group) on compact spaces.We will present a somewhat more general and shorter proof of the localization theorem, known as the Borel-Hsiang-Quillen localization theorem, which was generalized by Özkurt and Onat to actions of finitedimensional compact groups on compact connected spaces.In particular, we will apply this to the problem of the existence of equivariant maps between topological transformation groups.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Geometric and Algebraic Topology
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Matematički Vesnik
- Volume
- 78
- Issue
- 4
- Pages
- 342–342
- Publication date
- 2 February 2026