Table of contents -- Introduction -- 1 Spaces with two topologies -- 2 Axioms for a continuous cohomology theory -- 3 Existence of continuous cohomology theories -- 4 Smooth cohomology theories -- 5 Borel cohomology theories -- 6 Uniqueness of continuous, smooth, Borel, and discrete cohomology theories on foliated manifolds -- 7 Simplicial spaces -- uniqueness on B(G[sub(D)]) -- 8 Examples of non-uniqueness -- 9 Computation of continuous, smooth, and Borel cohomology (examples) -- Appendix -- A. Simplicial objects -- B. Paracompactness -- Bibliography
