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Elementary Structure of Real Algebraic Varieties

✍ Scribed by Hassler Whitney


Book ID
120817293
Publisher
John Hopkins University Press
Year
1957
Tongue
English
Weight
917 KB
Volume
66
Category
Article
ISSN
0003-486X

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Real Algebraically Maximal Varieties
✍ V. A. Krasnov πŸ“‚ Article πŸ“… 2003 πŸ› SP MAIK Nauka/Interperiodica 🌐 English βš– 120 KB
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✍ Clint McCrory; Adam ParusiΕ„ski πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 105 KB

We show that for all i 0 the i-th mod 2 Betti number of compact nonsingular real algebraic varieties has a unique extension to a virtual Betti number Ξ² i defined for all real algebraic varieties, such that if Y is a closed subvariety of X then Ξ² i (X) = Ξ² i (X \ Y ) + Ξ² i (Y ). We show by example th