A spherical Milnor space construction yields projective quotients and double quotients that encode Z2-twisted principal bundles and obstruction classes in low-degree cohomology.
Watts,Diffeologies, Differential Spaces, and Symplectic Geometry, Ph.D
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Introduces diffeological spherical and projective Milnor classifying spaces with compatible Riemannian metrics, differential calculus, Hodge theory, and Dirac operators in infinite-dimensional geometry.
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Spherical Milnor Spaces II: Projective Quotients and Higher Topological Structures
A spherical Milnor space construction yields projective quotients and double quotients that encode Z2-twisted principal bundles and obstruction classes in low-degree cohomology.
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On spherical Milnor Classifying Spaces I: differential geometry
Introduces diffeological spherical and projective Milnor classifying spaces with compatible Riemannian metrics, differential calculus, Hodge theory, and Dirac operators in infinite-dimensional geometry.