Universal spaces for manifolds equipped with a closed integral k-form

Hông Vân Lê
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Submission date: 02. Nov. 2007
Pages: 19
paper accepted for publication in: Proceedings of the Srni Winter school 2007
MSC-Numbers: 53C10, 53C42
Keywords and phrases: closed k-form, universal space, H-principle
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Abstract:
In this note we prove that any integral closed k-form , , on a m-dimensional manifold , , is the restriction of a universal closed k-form on a universal manifold as a result of an embedding of to .