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

Hông-Vân Lê (2007)

Archivum Mathematicum

In this note we prove that any integral closed k -form φ k , k 3 , on a m-dimensional manifold M m , m k , is the restriction of a universal closed k -form h k on a universal manifold U d ( m , k ) as a result of an embedding of M m to U d ( m , k ) .

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