Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661459 | Topology and its Applications | 2007 | 21 Pages |
Abstract
In this paper we prove the semialgebraic version of Palais' covering homotopy theorem, and use this to prove Bredon's covering mapping cylinder conjecture positively in the semialgebraic category. Bredon's conjecture was originally stated in the topological category, and a topological version of our semialgebraic proof of the conjecture answers the original topological conjecture for topological G-spaces over “simplicial” mapping cylinders.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology