On the extension of real regular embedding | Zendy

Jelonek Zbigniew | Zendy

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On the extension of real regular embedding

Author(s) -

Jelonek Zbigniew

Publication year - 2008

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/bdn058

Subject(s) - mathematics , extension (predicate logic) , algebraic variety , embedding , affine transformation , invertible matrix , pure mathematics , dimension (graph theory) , algebraic number , variety (cybernetics) , affine variety , algebraic extension , algebra over a field , discrete mathematics , mathematical analysis , computer science , differential algebraic equation , ordinary differential equation , statistics , artificial intelligence , programming language , differential equation

Let X be a real nonsingular affine algebraic variety of dimension k . It is proved that any two regular (algebraic) embeddings X → ℝ n are regularly equivalent, provided that n ⩾ 4 k + 2.

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