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

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

2008-05-03

arxiv.org/abs/0805.0345v1

Archivum Mathematicum, 43 (2007), 443-457

Mathematics

Algebraic Topology

17 pages, extended version of the second part of previously submitted note math.DG/0603182, containing an appendix written in

Scientific paper

In this note we prove that any integral closed k-form $\phi ^k$, $k\ge 3$, on
a m-dimensional manifold $M^m$, $m \ge k$, 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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