|
|
|
|
|
Cohomology of diagrams
and equivariant singular theory
Robert John Piacenza |
|
Vol. 91 (1980), No. 2, 435–443
|
Abstract |
|
The purpose of this paper is to define a cohomology theory for diagrams of simplicial sets that specializes to Illman’s equivariant singular cohomology for discrete G. We show that such a theory is representable by a suitable Eilenberg-Maclane object. The paper concludes with a comparison of equivariant singular cohomology and equivariant sheaf cohomology. We adopt the category theory of Maclane as formulated in “Categories for the working mathematician” and use the framework of Quillen’s “Homotopical Algebra.” |
Mathematical Subject Classification 2000
Primary: 55N35
Secondary: 55S99
|
Milestones
Received: 2 October 1979
Revised: 9 July 1980
Published: 1 December 1980
|
Authors |
| Robert John Piacenza | |
|
