Géométrie algébrique réelle et composantes connexes

Jean-Jacques Risler

Cahiers du séminaire d'histoire des mathématiques (1991)

  • Volume: 1, page 31-40
  • ISSN: 0767-7421

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Risler, Jean-Jacques. "Géométrie algébrique réelle et composantes connexes." Cahiers du séminaire d'histoire des mathématiques 1 (1991): 31-40. <http://eudml.org/doc/91022>.

@article{Risler1991,
author = {Risler, Jean-Jacques},
journal = {Cahiers du séminaire d'histoire des mathématiques},
keywords = {Betti numbers; real algebraic set; semialgebraic set; topological classification of connected components},
language = {fre},
pages = {31-40},
publisher = {Institut Henri Poincaré, Séminaire d'histoire des mathématiques : Paris},
title = {Géométrie algébrique réelle et composantes connexes},
url = {http://eudml.org/doc/91022},
volume = {1},
year = {1991},
}

TY - JOUR
AU - Risler, Jean-Jacques
TI - Géométrie algébrique réelle et composantes connexes
JO - Cahiers du séminaire d'histoire des mathématiques
PY - 1991
PB - Institut Henri Poincaré, Séminaire d'histoire des mathématiques : Paris
VL - 1
SP - 31
EP - 40
LA - fre
KW - Betti numbers; real algebraic set; semialgebraic set; topological classification of connected components
UR - http://eudml.org/doc/91022
ER -

References

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  1. [A-K] Akbulut S., King H. : Real algebraic structures on topological spaces. Publ. Math. IHES 53, 79-162 ( 1981). Zbl0531.57019MR623536
  2. [B-D] Benedetti R., Dedo M. : The topology of two dimensional real algebraic varieties. Ann.Mat. Pura Appl. 127, 141-171 ( 1981). Zbl0507.14018MR633398
  3. [B-L-R] Benedetti R., Loeser F., Risler J-J. : Two bounds on the number of connected components of an algebraic set. J, of Discr. and comp. Geometry ( 1990). Zbl0715.14046
  4. [B-R] Benedetti R., Risler J-J. : Real algebraic and semi-algebraic sets. Hermann ( 1990). Zbl0694.14006MR1070358
  5. [Kh] Kharlamov V.M. : The topological type of non singular surfaces in IRP3 of degree four; Funct. Anal. Appl. 10, 453-493 ( 1976). Zbl0362.14013
  6. [M] Milnor J. : On the Betti's numbers of real algebraic varieties. Proc. AMS 15, 275-280 ( 1964). Zbl0123.38302MR161339
  7. [R] Risler J-J. : Some aspects of complexity in real algebraic geometry. J. of Symb. Comp. 5, 109-119 ( 1988). Zbl0691.14011MR949114
  8. [T] Thom R. : Sur l'homologie des variétés algébriques réelles. Differential and comb. Topology, Princeton University Press, 255-265 ( 1965). Zbl0137.42503MR200942
  9. [W] Wilson G.: Hilbert's sixteenth problem. Topology 17, 53-73 ( 1978). Zbl0394.57001MR498591

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