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Mostow, Mark A.

The differentiable space structures of Milnor classifying spaces, simplicial complexes, and geometric realizations. (English) Zbl 0427.58005

J. Differ. Geom. 14, 255-293 (1979).
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Cited in 4 Reviews
Cited in 17 Documents

MSC:

58A40 Differential spaces
58A12 de Rham theory in global analysis
55U10 Simplicial sets and complexes in algebraic topology
55R35 Classifying spaces of groups and \(H\)-spaces in algebraic topology
57R32 Classifying spaces for foliations; Gelfand-Fuks cohomology

Keywords:

smooth functions and differential forms on the Milnor classifying space; geometric realization of a semi-simplicial manifold; Chern-Weil homomorphism at the cochain level; de Rham theory on differentiable spaces
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