Inspired by the analogous result in the algebraic setting (Theorem1) we show (Theorem2) that the product M × RP^n of a closed and orientable topological manifold M with the n-dimensional real projective space cannot be embedded into RP^(m+n+1) for all even n > m.
On codimension-1 submanifolds of the real and complex projective space
Zuddas, Daniele
2017-01-01
Abstract
Inspired by the analogous result in the algebraic setting (Theorem1) we show (Theorem2) that the product M × RP^n of a closed and orientable topological manifold M with the n-dimensional real projective space cannot be embedded into RP^(m+n+1) for all even n > m.File in questo prodotto:
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