Yuri Borysovych Zelinskii

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Questions related from Yuri Borysovych Zelinskii

Can there be a sphere in a Euclidean space linearly convex set?

Definition. A set E ⊂ Rn in real Euclidean space is called to be m-convex (m < n) if for each x ∈ Rn \ E there exists an m-dimensional plane L(x) such that x ∈ L(x) and L(x) ∩ E = ∅. In a...

24 September 2015 6,062 2 View

Does mapping exist for an n-dimensional projective space in an n-dimensional sphere where every point of image has no more than 2 preimages for n>3?

Detail see in On a mapping of a projective space into a sphere//Ukrainian Mathematical Journal 12/2010; 62(7):1090-1097

18 April 2015 1,198 2 View