On homology of real algebraic varieties


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Ozan Y.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.129, sa.11, ss.3167-3175, 2001 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 129 Konu: 11
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1090/s0002-9939-01-06065-8
  • Dergi Adı: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.3167-3175

Özet

Let R be a commutative ring with unity and X an R-oriented compact nonsingular real algebraic variety of dimension n. If i : X --> X-C is any nonsingular complexification of X, then the kernel, which we will denote by KHk(X, R), of the induced homomorphism i(*) : H-k(X, R) --> H-k(X-C, R) is independent of the complexification. In this work, we study KHk(X, R) and give some of its applications.