|
Some new results on the topology of nonsingular real algebraic sets
Author(s):
Selman
Akbulut;
Henry
King
Journal:
Bull. Amer. Math. Soc.
23
(1990),
441-446.
MSC (1985):
Primary 58A07, 32C05, 14G30, 57R99
MathSciNet review:
1053986
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
- [AK1] S. Akbulut and H. King, The topology of real algebraic sets with isolated singularities, Ann. of Math. 113 (1981), 425-446. MR 621011
- [AK2] S. Akbulut and H. King, The topology of real algebraic sets, Enseign. Math. 29 (1983), 221-261. MR 719311
- [AK3] S. Akbulut and H. King, Real algebraic structures on topological spaces, Publ. I.H.E.S. no. 53 (1981), 79-162. 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), 45-83. MR 778089
- [I] N. V. Ivanov, An improvement of the Nash-Tognoli theorem, Issled. Topol. Steklov Math. Inst. 122 (1982), 66-71. MR 661466
- [K] H. King, Survey on the topology of real algebraic sets, Rocky Mountain J. Math. 14(1984), 821-830. MR 773118
- [N] J. Nash, Real algebraic manifolds, Ann. of Math. 56 (1952), 405-421. MR 50928
- [S] H. Seifert, Algebraische approximation von mannigfaltigkeiten, Math. Z. 41 (1936), 1-17. MR 1545601
- [T1 ] A. Tognoli, Algebraic approximation of manifolds and spaces, Lecture Notes in Math., vol. 842, Springer-Verlag, Berlin and New York, 1981, pp. 73-94. MR 636518
- [T2] A. Tognoli, Any compact differentiable submanifold of Rn has algebraic approximation in Rn, Topology 27 (1988), 205-210. MR 948183
- [W] A. Wallace, Algebraic approximations of manifolds, Proc. London Math. Soc. 7(1957), 196-210. MR 87205
- [We] R. Wells, Cobordism groups of immersions, Topology 5 (1966), 281-294. MR 196760
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1985):
58A07, 32C05, 14G30, 57R99
Retrieve articles in all Journals with MSC
(1985):
58A07, 32C05, 14G30, 57R99
Additional Information:
DOI:
10.1090/S0273-0979-1990-15955-5
PII:
S 0273-0979(1990)15955-5
|
