Algebraic approximation of manifolds and spaces

A. Tognoli

Séminaire Bourbaki (1979-1980)

  • Volume: 22, page 73-94
  • ISSN: 0303-1179

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Tognoli, A.. "Algebraic approximation of manifolds and spaces." Séminaire Bourbaki 22 (1979-1980): 73-94. <http://eudml.org/doc/109964>.

@article{Tognoli1979-1980,
author = {Tognoli, A.},
journal = {Séminaire Bourbaki},
keywords = {characterisation of the topology of real algebraic isolated singularities; approximations of manifolds by algebraic manifolds; algebraic structures on manifolds},
language = {eng},
pages = {73-94},
publisher = {Springer-Verlag},
title = {Algebraic approximation of manifolds and spaces},
url = {http://eudml.org/doc/109964},
volume = {22},
year = {1979-1980},
}

TY - JOUR
AU - Tognoli, A.
TI - Algebraic approximation of manifolds and spaces
JO - Séminaire Bourbaki
PY - 1979-1980
PB - Springer-Verlag
VL - 22
SP - 73
EP - 94
LA - eng
KW - characterisation of the topology of real algebraic isolated singularities; approximations of manifolds by algebraic manifolds; algebraic structures on manifolds
UR - http://eudml.org/doc/109964
ER -

References

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  1. [1] S. Akbukut - Algebraic equations for a class of P.L. spaces, Math. Annalen231(1977), 19-31. Zbl0343.57006MR473350
  2. [2] S. Akbulut and H. King - The topology of real algebraic sets with isolated singularities, Preprint of University of Maryland (1978). MR621011
  3. [3] M.F. Atiyah - K-theory, W.A. Benjamin, New York-Amsterdam1967. Zbl0159.53302MR224083
  4. [4] R. Benedetti, A. Tognoli - Sur les fibrés vectoriels algébriques réels, C. R. Acad. Sc. Paris, t. 287 (6/11/78). Zbl0431.57012MR538505
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  6. [6] R. Benedetti, A. Tognoli - Approximation theorems in real algebraic geometry, Sem. Norguet, may 1979. MR675502
  7. [7] L. Beretta, A. Tognoli - Complete intersections and algebraic cycles, to appear on B.U.M.I. Zbl0509.14028MR629413
  8. [8] A. Borel, A. Haefliger - La classe d'homologie fondamentale d'un espace analytique, Bull. Soc. Math. France (1961), 89 Zbl0102.38502MR149503
  9. [9] P.E. Conner, E.E. Floyd - Differential periodic maps, Springer Berlin (1964). Zbl0125.40103MR176478
  10. [10] N.H. Kuiper - Algebraic equations for non smoothable 8-manifolds, I.H.E.S., N. 33(1968). Zbl0174.54902
  11. [11] M.G. Marinari, M. Raimondo - Fibrati vettoriali su varieta algebriche definite su corpi non algebricamente chiusi, Bolettino U.M.I. Zbl0418.14010
  12. [12] J. Nash - Real algebraic manifolds, Ann. of Math.56(1952). Zbl0048.38501MR50928
  13. [13] J. Roberts - Singularity subschemes and generic projections, Trans. Amer. Math. Soc., Vol. 212(1975). Zbl0314.14003MR422274
  14. [14] H. Seifert - Algebraische approximation von Mannigfaltigkeiten, Math. Zeitschrift, 41(1936). Zbl0013.36902
  15. [15] R. Thom - Quelques propriétés globales des variétés différentiables, Com. Math. Helvetici (1964). Zbl0057.15502
  16. [16] A. Tognoli - Algebraic geometry and Nash functions, Institutiones mathematicae, Vol. III, Acad. Press London and New-York. Zbl0418.14002MR556239
  17. [17] H. Whitney - Differentiable manifolds, Ann. of Math., 37(1936). Zbl0015.32001JFM62.1454.01
  18. [18] A.H. Wallace - Algebraic approximation of manifold, Proc. London Math. Soc., 3(7), (1957). Zbl0081.37802MR87205

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