Manifold-Valued Holomorphic Approximation
Canadian mathematical bulletin, Tome 54 (2011) no. 2, pp. 370-380

Voir la notice de l'article provenant de la source Cambridge University Press

This note considers the problem of approximating continuous maps from sets in complex spaces into complex manifolds by holomorphic maps.
DOI : 10.4153/CMB-2010-103-5
Mots-clés : 32E20
Stout, Edgar Lee. Manifold-Valued Holomorphic Approximation. Canadian mathematical bulletin, Tome 54 (2011) no. 2, pp. 370-380. doi: 10.4153/CMB-2010-103-5
@article{10_4153_CMB_2010_103_5,
     author = {Stout, Edgar Lee},
     title = {Manifold-Valued {Holomorphic} {Approximation}},
     journal = {Canadian mathematical bulletin},
     pages = {370--380},
     year = {2011},
     volume = {54},
     number = {2},
     doi = {10.4153/CMB-2010-103-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-103-5/}
}
TY  - JOUR
AU  - Stout, Edgar Lee
TI  - Manifold-Valued Holomorphic Approximation
JO  - Canadian mathematical bulletin
PY  - 2011
SP  - 370
EP  - 380
VL  - 54
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-103-5/
DO  - 10.4153/CMB-2010-103-5
ID  - 10_4153_CMB_2010_103_5
ER  - 
%0 Journal Article
%A Stout, Edgar Lee
%T Manifold-Valued Holomorphic Approximation
%J Canadian mathematical bulletin
%D 2011
%P 370-380
%V 54
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-103-5/
%R 10.4153/CMB-2010-103-5
%F 10_4153_CMB_2010_103_5

[1] [1] Alexander, H., Polynomial approximation and hulls in sets of finite linear measure in n . Amer. J. Math. 93(1971), 65–74. doi:10.2307/2373448 Google Scholar

[2] [2] Chakrabarti, D., Coordinate neighborhoods of arcs and the approximation of maps into (almost) complex manifolds. Michigan Math. J. 55(2007), no. 2, 299–333. doi:10.1307/mmj/1187646996 Google Scholar

[3] [3] Chakrabarti, D., Sets of approximation and interpolation in for manifold-valued maps. J. Geom. Anal. 18(2008), no. 3, 720–739. doi:10.1007/s12220-008-9030-2 Google Scholar

[4] [4] Drinovec-Drnovšek, B. and Forstnerič, F., Approximation of holomorphic mappings on strongly pseudoconvex domains. Forum Math. 20(2008), no. 5, 817–840. doi:10.1515/FORUM.2008.039 Google Scholar

[5] [5] Duchamp, T. and Stout, E. L., Maximum modulus sets. Ann. Inst. Fourier (Grenoble) 31(1981), no. 3, v, 37–69. Google Scholar

[6] [6] Gauthier, P. M. and Zeron, E. S., Approximation by rational mappings, via homotopy theory. Canad. Math. Bull. 49(2006), no. 2, 237–246. Google Scholar

[7] [7] Gauthier, P. M. and Zeron, E. S., Embedding Stein manifolds and tangential approximation. Complex Var. Elliptic Equ. 51(2006), no. 8–11, 953–958. doi:10.1080/17476930600673005 Google Scholar

[8] [8] Gunning, R. C. and Rossi, H., Analytic functions of several complex variables. Prentice-Hall, Inc., Englewood Cliffs, NJ, 1965. Google Scholar

[9] [9] Hurewicz, W. and Wallman, H., Dimension theory. Princeton Mathematical Series, 4, Princeton University Press, Princeton, NJ, 1941. Google Scholar

[10] [10] Stout, E. L., Polynomial convexity. Progress in Mathematics, 261, Birkhäuser Boston Inc., Boston, MA, 2007. Google Scholar

[11] [11] Zeron, E. S., Approximation and the topology of rationally convex sets. Canad. Math. Bull. 49(2006), no. 4, 628–636. Google Scholar

Cité par Sources :