Topology of injective endomorphisms of real algebraic sets
نویسندگان
چکیده
منابع مشابه
Topology of Injective Endomorphisms of Real Algebraic Sets
Using only basic topological properties of real algebraic sets and regular morphisms we show that any injective regular self-mapping of a real algebraic set is surjective. Then we show that injective morphisms between germs of real algebraic sets define a partial order on the equivalence classes of these germs divided by continuous semi-algebraic homeomorphisms. We use this observation to deduc...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2004
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-003-0486-x