Premium
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.