Approximation theorems and Nash conjecture

Alberto Tognoli

Mémoires de la Société Mathématique de France (1974)

  • Volume: 38, page 53-68
  • ISSN: 0249-633X

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Tognoli, Alberto. "Approximation theorems and Nash conjecture." Mémoires de la Société Mathématique de France 38 (1974): 53-68. <http://eudml.org/doc/94690>.

@article{Tognoli1974,
author = {Tognoli, Alberto},
journal = {Mémoires de la Société Mathématique de France},
language = {eng},
pages = {53-68},
publisher = {Société mathématique de France},
title = {Approximation theorems and Nash conjecture},
url = {http://eudml.org/doc/94690},
volume = {38},
year = {1974},
}

TY - JOUR
AU - Tognoli, Alberto
TI - Approximation theorems and Nash conjecture
JO - Mémoires de la Société Mathématique de France
PY - 1974
PB - Société mathématique de France
VL - 38
SP - 53
EP - 68
LA - eng
UR - http://eudml.org/doc/94690
ER -

References

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  2. [2] CARTAN (Henri). — Variétés analytiques réelles et variétés analytiques complexes. Bull. Soc. Math. France, 85 (1957) pp. 77-99. Zbl0083.30502MR20 #1339
  3. [3] LAZZERI (F.), TOGNOLI (Alberto). — Alcune proprietà degli spazi algebrici. Annali Sc. Norm. Sup. di Pisa, Vol XXIV, (1970) pp. 597-632. Zbl0205.25201MR45 #1909
  4. [4] TOGNOLI (Alberto). — Su una congettura di J. Nash. Annali Sc. Norm. Sup. di Pisa, vol. XXVII, (1973), pp. 167-185. Zbl0263.57011MR53 #434
  5. [5] WHITNEY (H.). — Analytic extension of differentiable functions defined on closed sets. Trans. Amer. Math. Soc. 36, n° 1 (1934), pp. 63-89. Zbl0008.24902MR1501735JFM60.0217.01
  6. [6] MALGRANGE (B.). — Sur les fonctions differentiables et les ensembles analytiques. Bull. Soc. Math. France 91 (1963), pp. 113-127. Zbl0113.06302MR27 #2648
  7. [7] SERRE (Jean-Pierre). — Géométrie algébrique et géométrie analytique. Ann. Inst. Fourier t. 6 (1955-1956) pp. 1-42. Zbl0075.30401MR18,511a
  8. [8] MALGRANGE (B.). — Division des distributions. I-IV, Séminaire Schwartz (1959-1960), n° 21-25. 
  9. [9] TOGNOLI (Alberto), TOMASSINI (G.). — Teoremi di immersione per gli spazi analitici reali. Annali Sc. Norm. Sup. di Pisa (1967), pp. 575-598. Zbl0179.28702
  10. [10] STEENROD (N.E.). — Topology of fibre bundles. Princeton Math. Series Univ. Press 1951. Zbl0054.07103MR12,522b
  11. [11] TOGNOLI (Alberto). — Teoremi di approssimazione per gli spazi analitici reali coerenti non immergibili in ℝn. Annali Sc. Norm. Sup. di Pisa (1971), vol. XXV, pp. 507-516. 
  12. [12] COEN (S.). — Sul rango dei fasci coerenti. Boll. U.M.I., Ser. III a (1967), pp. 373-382. Zbl0164.38202MR37 #3051
  13. [13] CARTAN (Henri). — Espaces fibrés analytiques. Symposium Internecional de topologia algebraica (1958) Mexico. Zbl0121.30503
  14. [14] NASH (J.). — Real algebraic manifolds. Annals of Math., vol. 56 (1952) pp. 405-421. Zbl0048.38501MR14,403b
  15. [15] TOGNOLI (Alberto). — Sulla classificazione dei fibrati analitici reali. Annali Sc. Norm. Sup. di Pisa (1967), vol. XXI, pp. 709-744. Zbl0179.28703MR37 #928
  16. [16] MILNOR (J.). — On the Stiefel-Whitney numbers of complex manifolds and of spin manifolds. Zbl0132.19601
  17. [17] WHITNEY (H.). — Differentiable manifolds. Annals of Math., vol. 37, (1936), pp. 647-680. Zbl0015.32001JFM62.1454.01
  18. [18] WALLACE (A.H.). — Algebraic approximation of manifolds. Proc. London Math. Soc. (3) 7 (1957) pp. 196-210. Zbl0081.37802MR19,320a
  19. [19] TOGNOLI (Alberto). — L'analogo del teorema delle matrici.... Annali Sc. Norm. Sup. di Pisa (1968), vol. XXII, pp. 527-558. Zbl0186.14102
  20. [20] TOGNOLI (Alberto). — Un teorema di approssimazione relativo, to appear on Bollettino dell'unione matematica italiana. 

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