Smooth classifying spaces
نویسندگان
چکیده
We develop the theory of smooth principal bundles for a group G, using framework diffeological spaces. After giving new examples showing why arbitrary cannot be classified, we define D-numerable bundles, analogs numerable from topology, and prove that pulling back bundle along smoothly homotopic maps gives isomorphic pullbacks. then structures on Milnor’s spaces EG BG, show → BG is bundle, it classifies all over any space. deduce analogous classification results vector bundles.
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2021
ISSN: ['1565-8511', '0021-2172']
DOI: https://doi.org/10.1007/s11856-021-2120-6