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Topology of injective endomorphisms of real algebraic sets

✍ Scribed by Adam Parusiński


Publisher
Springer
Year
2004
Tongue
English
Weight
203 KB
Volume
328
Category
Article
ISSN
0025-5831

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Fundamental class of real algebraic sets
✍ Zbigniew Szafraniec 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 95 KB

Let F : R n → R k (n k) be a polynomial mapping such that the real algebraic set X = F -1 (0) is compact. There are introduced a fundamental class [X] F ∈ H n-k (X; Z) and a topological degree deg(G) for G : X → R n-k+1 -{0}, which coincide with the usual ones when X is a smooth oriented m-manifold.