Some new results on the topology of nonsingular real algebraic sets
Authors:
Selman Akbulut and Henry King
Journal:
Bull. Amer. Math. Soc. 23 (1990), 441446
MSC (1985):
Primary 58A07, 32C05, 14G30, 57R99
DOI:
https://doi.org/10.1090/S027309791990159555
MathSciNet review:
1053986
Fulltext PDF Free Access
References  Similar Articles  Additional Information

[AK1] S. Akbulut and H. King, The topology of real algebraic sets with isolated singularities, Ann. of Math. 113 (1981), 425446. MR 621011

[AK2] S. Akbulut and H. King, The topology of real algebraic sets, Enseign. Math. 29 (1983), 221261. MR 719311

[AK3] S. Akbulut and H. King, Real algebraic structures on topological spaces, Publ. I.H.E.S. no. 53 (1981), 79162. MR 623536

[AK4] S. Akbulut and H. King, On approximating submanifolds by algebraic sets(to appear).

[AK5] S. Akbulut and H. King, Algebraicity of immersions(to appear).

[AK6] S. Akbulut and H. King, Submanifolds and homology of nonsingular algebraic varieties, Amer. J. Math. (1985), 4583. MR 778089

[I] N. V. Ivanov, An improvement of the NashTognoli theorem, Issled. Topol. Steklov Math. Inst. 122 (1982), 6671. MR 661466

[K] H. King, Survey on the topology of real algebraic sets, Rocky Mountain J. Math. 14(1984), 821830. MR 773118

[N] J. Nash, Real algebraic manifolds, Ann. of Math. 56 (1952), 405421. MR 50928

[S] H. Seifert, Algebraische approximation von mannigfaltigkeiten, Math. Z. 41 (1936), 117. MR 1545601

[T1 ] A. Tognoli, Algebraic approximation of manifolds and spaces, Lecture Notes in Math., vol. 842, SpringerVerlag, Berlin and New York, 1981, pp. 7394. MR 636518

[T2] A. Tognoli, Any compact differentiable submanifold of R^{n} has algebraic approximation in R^{n}, Topology 27 (1988), 205210. MR 948183

[W] A. Wallace, Algebraic approximations of manifolds, Proc. London Math. Soc. 7(1957), 196210. MR 87205

[We] R. Wells, Cobordism groups of immersions, Topology 5 (1966), 281294. MR 196760
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Additional Information
DOI:
https://doi.org/10.1090/S027309791990159555