Injective Endomorphisms of Real . . .


We consider mappings from an algebraic set X to itself. The result that, for regular maps, injectivity implies surjectivity is known in the complex case (more generally over algebraically closed field of char 6 0) as Ax’s theorem [A]. In the real case this result was proved by Białynicki-Birula and Rosenlicht [BR] for X 6/7 n , later by A. Borel [B] for X… (More)


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