Extension of the Borsuk Theorem on Non-Embeddability of Spheres

Details Extension of the Borsuk Theorem on Non-Embeddability of Spheres Extension of the Borsuk Theorem on Non-Embeddability of Spheres

2009-06-25

arxiv.org/abs/0906.4710v1

Mathematics

Geometric Topology

7 pages

Scientific paper

It is proved that the suspension of a closed n-dimensional manifold M,
$n\ge1$, does not embed in a product of n+1 curves. In fact, the ultimate
result will be proved in a much more general setting. This is a far-reaching
generalization the Borsuk theorem on non-embeddability of the (n+1)-dimensional
sphere in a product of n+1 curves.

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