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On real algebraic models of smooth manifolds
Author(s):
J.
Bochnak;
W.
Kucharz
Journal:
Bull. Amer. Math. Soc.
20
(1989),
23-26.
MSC (1985):
Primary 57R19, 14G30, 14C99
MathSciNet review:
972069
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References |
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Additional information
References:
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- S. Akbulut and H. King, The topology of real algebraic sets with isolated singularities, Ann. of Math. (2) 113 (1981), 425-446. MR 621011
- 2.
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- 3.
- S. Akbulut and H. King, Submanifolds and homology ofnonsingular real algebraic varieties, Amer. J. Math. 107 (1985), 45-83. MR 778089
- 4.
- R. Benedetti and M. Dedò, Counterexamples to representing homology classes by real algebraic subvarieties up to homeomorphism, Compositio Math. 53 (1984), 143-151. MR 766294
- 5.
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- 6.
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- 7.
- J. Bochnak and W. Kucharz, Nonisomorphic algebraic structures on smooth manifolds, Proc. Amer. Math. Soc. 101 (1987), 424-426. MR 908641
- 8.
- J. Bochnak and W. Kucharz, Algebraic approximation of mappings into spheres, Michigan Math. J. 34 (1987), 119-125. MR 873026
- 9.
- J. Bochnak and W. Kucharz, K-theory of real algebraic surfaces and threefolds (to appear). MR 1010372
- 10.
- J. Bochnak and W. Kucharz, Algebraic models of smooth manifolds (a preliminary version), preprint, Univ. of New Mexico, 1988, pp. 45. MR 1005007
- 11.
- A. Borel and A. Haefliger, La classe d'homologie fondamentale d'un espace analytique, Bull. Soc. Math. France 89 (1961), 461-513. MR 149503
- 12.
- W. Kucharz, On homology of real algebraic sets, Invent. Math. 82 (1985), 19-26. MR 808106
- 13.
- B. G. Moishezon, Algebraic homology classes on algebraic varieties, Math. USSR Izv. 1 (1967), 209-251.
- 14.
- J.-J. Risler, Sur l'homologie des surfaces algébriques réelles, Géométrie Algébrique Réelle et Formes Quadratiques, Lecture Notes in Math., vol. 959, Springer-Verlag, Berlin and New York, 1982, pp. 381-385. MR 683144
- 15.
- R. Silhol, A bound on the order of $H\sp{(a)}\sb{n-1}(X,\,Z/2)$ on a real algebraic variety, Géométrie Algébrique Réelle et Formes Quadratiques, Lecture Notes in Math., vol. 959, Springer-Verlag, Berlin and New York, 1982, pp. 443-450. MR 683148
- 16.
- A. Tognoli, Su una congettura di Nash, Ann. Scuola Norm. Sup. Pisa 27 (1973), 167-185. MR 396571
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Additional Information:
DOI:
10.1090/S0273-0979-1989-15684-X
PII:
S 0273-0979(1989)15684-X
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