Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4657810 | Topology and its Applications | 2016 | 23 Pages |
Abstract
In Part 1 of the paper we give a new construction of equivariant Alexander–Spanier cohomology for actions of a finite group G, which is simpler and more direct than the original one given in [2]. In Part 2 we prove some useful results concerning equivariant Alexander–Spanier cohomology theory. In Part 3 we use equivariant Alexander–Spanier cohomology and the results proved in Part 2, in the case where G=CpG=Cp is a cyclic group of prime order p, to develop P.A. Smith theory from scratch, under minimal, in fact necessary, assumptions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Sören Illman,