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On homology of real algebraic sets

✍ Scribed by Wojciech Kucharz


Publisher
Springer-Verlag
Year
1985
Tongue
English
Weight
388 KB
Volume
82
Category
Article
ISSN
0020-9910

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πŸ“œ SIMILAR VOLUMES


Fundamental class of real algebraic sets
✍ Zbigniew Szafraniec πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 95 KB

Let F : R n β†’ 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 β†’ R n-k+1 -{0}, which coincide with the usual ones when X is a smooth oriented m-manifold.