Some new results on the topology of nonsingular real algebraic sets
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- by Selman Akbulut and Henry King PDF
- Bull. Amer. Math. Soc. 23 (1990), 441-446
References
- Selman Akbulut and Henry C. King, The topology of real algebraic sets with isolated singularities, Ann. of Math. (2) 113 (1981), no. 3, 425–446. MR 621011, DOI 10.2307/2006992
- Selman Akbulut and Henry King, The topology of real algebraic sets, Knots, braids and singularities (Plans-sur-Bex, 1982) Monogr. Enseign. Math., vol. 31, Enseignement Math., Geneva, 1983, pp. 7–47. MR 728579
- Selman Akbulut and Henry C. King, Real algebraic structures on topological spaces, Inst. Hautes Études Sci. Publ. Math. 53 (1981), 79–162. MR 623536, DOI 10.1007/BF02698688 [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).
- S. Akbulut and H. King, Submanifolds and homology of nonsingular real algebraic varieties, Amer. J. Math. 107 (1985), no. 1, 45–83. MR 778089, DOI 10.2307/2374457
- N. V. Ivanov, Sharpening of the Nash-Tognoli theorem, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 122 (1982), 66–71, 164 (Russian, with English summary). Studies in topology, IV. MR 661466
- H. King, Survey on the topology of real algebraic sets, Rocky Mountain J. Math. 14 (1984), no. 4, 821–830. Ordered fields and real algebraic geometry (Boulder, Colo., 1983). MR 773118, DOI 10.1216/RMJ-1984-14-4-821
- John Nash, Real algebraic manifolds, Ann. of Math. (2) 56 (1952), 405–421. MR 50928, DOI 10.2307/1969649
- H. Seifert, Algebraische Approximation von Mannigfaltigkeiten, Math. Z. 41 (1936), no. 1, 1–17 (German). MR 1545601, DOI 10.1007/BF01180402
- A. Tognoli, Algebraic approximation of manifolds and spaces, Bourbaki Seminar, Vol. 1979/80, Lecture Notes in Math., vol. 842, Springer, Berlin-New York, 1981, pp. 73–94. MR 636518
- Alberto Tognoli, Any compact differentiable submanifold of $\textbf {R}^n$ has an algebraic approximation in $\textbf {R}^n$, Topology 27 (1988), no. 2, 205–210. MR 948183, DOI 10.1016/0040-9383(88)90039-0
- Andrew H. Wallace, Algebraic approximation of manifolds, Proc. London Math. Soc. (3) 7 (1957), 196–210. MR 87205, DOI 10.1112/plms/s3-7.1.196
- Robert Wells, Cobordism groups of immersions, Topology 5 (1966), 281–294. MR 196760, DOI 10.1016/0040-9383(66)90011-5
Additional Information
- Journal: Bull. Amer. Math. Soc. 23 (1990), 441-446
- MSC (1985): Primary 58A07, 32C05, 14G30, 57R99
- DOI: https://doi.org/10.1090/S0273-0979-1990-15955-5
- MathSciNet review: 1053986