On codimension-1 submanifolds of the real and complex projective space

Cappelletti-Montano, Beniamino;Loi, Andrea
;
Zuddas, Daniele
2017-01-01

2017
Inspired by the analogous result in the algebraic setting (Theorem 1) we show (Theorem 2) that the product M x RPn of a closed and orientable topological manifold M with the n-dimensional real projective space cannot be embedded into RPm+n+1 for all even n > m.
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