@article{ASENS_2003_4_36_5_685_0, author = {Bochnak, Jacek and Kucharz, Wojciech}, title = {On approximation of smooth submanifolds by nonsingular real algebraic subvarieties}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {685--690}, publisher = {Elsevier}, volume = {Ser. 4, 36}, number = {5}, year = {2003}, doi = {10.1016/j.ansens.2003.04.001}, mrnumber = {2032984}, zbl = {1063.14073}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.ansens.2003.04.001/} }
TY - JOUR AU - Bochnak, Jacek AU - Kucharz, Wojciech TI - On approximation of smooth submanifolds by nonsingular real algebraic subvarieties JO - Annales scientifiques de l'École Normale Supérieure PY - 2003 SP - 685 EP - 690 VL - 36 IS - 5 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.ansens.2003.04.001/ DO - 10.1016/j.ansens.2003.04.001 LA - en ID - ASENS_2003_4_36_5_685_0 ER -
%0 Journal Article %A Bochnak, Jacek %A Kucharz, Wojciech %T On approximation of smooth submanifolds by nonsingular real algebraic subvarieties %J Annales scientifiques de l'École Normale Supérieure %D 2003 %P 685-690 %V 36 %N 5 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.ansens.2003.04.001/ %R 10.1016/j.ansens.2003.04.001 %G en %F ASENS_2003_4_36_5_685_0
Bochnak, Jacek; Kucharz, Wojciech. On approximation of smooth submanifolds by nonsingular real algebraic subvarieties. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 36 (2003) no. 5, pp. 685-690. doi : 10.1016/j.ansens.2003.04.001. http://archive.numdam.org/articles/10.1016/j.ansens.2003.04.001/
[1] Transversal Mappings and Flows, Benjamin, New York, 1967. | MR | Zbl
, ,[2] Polynomial equations of immersed surfaces, Pacific J. Math. 131 (1988) 209-217. | MR | Zbl
, ,[3] Topology of Real Algebraic Sets, in: Math. Sci. Res. Inst. Publ., vol. 25, Springer, New York/Berlin/Heidelberg, 1992. | MR | Zbl
, ,[4] Akbulut S., King H., Private communication.
[5] Real Algebraic Geometry, in: Ergeb. Math. Grenzgeb. (3), vol. 36, Springer, Berlin/Heidelberg/New York, 1998. | MR | Zbl
, , ,[6] K-theory of real algebraic surfaces and threefolds, Math. Proc. Cambridge Philos. Soc. 106 (1989) 471-480. | MR | Zbl
, ,[7] On homology classes represented by real algebraic varieties, in: Banach Center Publ., vol. 44, Warsaw, 1998, pp. 21-35. | MR | Zbl
, ,[8] La classe d'homologie fondamentale d'un espace analytique, Bull. Soc. Math. France 89 (1961) 461-513. | Numdam | MR | Zbl
, ,[9] Differentiable Periodic Maps, Lecture Notes in Math., vol. 738, Springer, Berlin/Heidelberg/New York, 1979. | MR | Zbl
,[10] Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. of Math. 79 (1964) 109-326. | MR | Zbl
,[11] Differential Topology, Grad. Texts in Math., vol. 33, Springer, New York/Berlin/Heidelberg, 1997. | MR | Zbl
,[12] The topology of complex projective varieties after S. Lefschetz, Topology 20 (1981) 15-51. | MR | Zbl
,[13] Characteristic Classes, Ann. of Math. Stud., vol. 76, Princeton Univ. Press, Princeton, 1974. | MR | Zbl
, ,[14] Basic Algebraic Geometry 1, Springer, Berlin, 1994. | MR | Zbl
,[15] Basic Algebraic Geometry 2, Springer, Berlin, 1994. | MR | Zbl
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