Virtual Betti numbers of real algebraic
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Clint McCrory; Adam ParusiΕski
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Article
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2003
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Elsevier Science
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English
β 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