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This paper reports on some results concerning:
a) The homotopy type of the group of diffeomorphisms of a differentiable compact manifold (with -topology).
b) the result of the homotopy comparison of this space with the group of all homeomorphisms Homeo (with -topology). As a biproduct, one gets new facts about the homotopy groups of , and about the number of connected components of the space of topological and combinatorial pseudoisotopies.
The results...
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