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

##### 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
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