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Volumn 33, Issue 3, 2005, Pages 395-401

Betti numbers of semialgebraic sets defined by quantifier-free formulae

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EID: 21244490537     PISSN: 01795376     EISSN: 14320444     Source Type: Journal    
DOI: 10.1007/s00454-004-1105-7     Document Type: Article
Times cited : (25)

References (14)
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    • (2000) An Introduction to O-Minimal Geometry
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  • 4
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    • Grigoriev, D.1
  • 5
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    • Definability and fast quantifier elimination in algebraically closed fields
    • J. Heintz, Definability and fast quantifier elimination in algebraically closed fields, Theoret. Comput. Sci. 24 (1983), 239-277.
    • (1983) Theoret. Comput. Sci. , vol.24 , pp. 239-277
    • Heintz, J.1
  • 6
    • 84966260816 scopus 로고
    • On the Betti numbers of real varieties
    • J. Milnor, On the Betti numbers of real varieties, Proc. Amer. Math. Soc. 15 (1964), 275-280.
    • (1964) Proc. Amer. Math. Soc. , vol.15 , pp. 275-280
    • Milnor, J.1
  • 8
    • 0001632852 scopus 로고
    • Estimates of the Betti numbers of real algebraic hypersurfaces
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    • (1951) Mat. Sb. , vol.28 , pp. 635-640
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  • 9
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    • On the topology of real algebraic hypersurfaces
    • O. A. Oleinik and I. G. Petrovskii, On the topology of real algebraic hypersurfaces (Russian), Izv. Acad. Nauk SSSR 13 (1949), 389-402.
    • (1949) Izv. Acad. Nauk SSSR , vol.13 , pp. 389-402
    • Oleinik, O.A.1    Petrovskii, I.G.2
  • 10
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    • English transl.
    • English transl.: Amer. Math. Soc. Transl. 7 (1962) 399-417.
    • (1962) Amer. Math. Soc. Transl. , vol.7 , pp. 399-417
  • 13
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    • Sur l'homologie des variétés algebriques réelles
    • S. S. Cairns (ed.), Princeton University Press, Princeton, NJ
    • R. Thom, Sur l'homologie des variétés algebriques réelles, in: S. S. Cairns (ed.), Differential and Combinatorial Topology, pp. 255-265, Princeton University Press, Princeton, NJ, 1965.
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    • Thom, R.1


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