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Volumn 133, Issue 4, 2005, Pages 965-974

On the Betti numbers of sign conditions

Author keywords

Betti numbers; Semi algebraic sets; Sign conditions

Indexed keywords


EID: 16244422710     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-04-07629-4     Document Type: Article
Times cited : (23)

References (10)
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    • Different bounds on the different Betti numbers of Semi-algebraic sets
    • MR1991587 (2004f:14082)
    • S. BASU Different bounds on the Different Betti Numbers of Semi-algebraic Sets, Discrete and Computational Geometry, 30:65-85, 2003. MR1991587 (2004f:14082)
    • (2003) Discrete and Computational Geometry , vol.30 , pp. 65-85
    • Basu, S.1
  • 2
    • 0033436565 scopus 로고    scopus 로고
    • On bounding the Betti numbers and computing the euler characteristics of Semi-algebraic sets
    • MR1692627 (2000d:14061)
    • S. BASU On Bounding the Betti Numbers and Computing the Euler Characteristics of Semi-algebraic Sets, Discrete and Computational Geometry, 22:1-18, 1999. MR1692627 (2000d:14061)
    • (1999) Discrete and Computational Geometry , vol.22 , pp. 1-18
    • Basu, S.1
  • 3
    • 21344442987 scopus 로고    scopus 로고
    • On the number of cells defined by a family of polynomials on a variety
    • MR1401711 (97h:14076)
    • S. BASU, R. POLLACK, M.-F. ROY On the number of cells defined by a family of polynomials on a variety, Mathematika, Vol 43, 120-126, 1996. MR1401711 (97h:14076)
    • (1996) Mathematika , vol.43 , pp. 120-126
    • Basu, S.1    Pollack, R.2    Roy, M.-F.3
  • 7
    • 0001435982 scopus 로고
    • On the topology of real algebraic surfaces
    • MR0034600 (11:613h)
    • O. A. OLEINIK, I. B. PETROVSKII On the topology of real algebraic surfaces, Izv. Akad. Nauk SSSR 13, 389-402, (1949). MR0034600 (11:613h)
    • (1949) Izv. Akad. Nauk SSSR , vol.13 , pp. 389-402
    • Oleinik, O.A.1    Petrovskii, I.B.2
  • 8
    • 84966260816 scopus 로고
    • On the Betti numbers of real varieties
    • MR0161339 (28:4547)
    • J. MILNOR On the Betti numbers of real varieties, Proc. AMS 15, 275-280, (1964). MR0161339 (28:4547)
    • (1964) Proc. AMS , vol.15 , pp. 275-280
    • Milnor, J.1
  • 9
    • 0003807144 scopus 로고
    • McGraw-Hill Book Company, MR0210112 (35:1007)
    • E. H. SPANIER Algebraic Topology, McGraw-Hill Book Company, 1966. MR0210112 (35:1007)
    • (1966) Algebraic Topology
    • Spanier, E.H.1
  • 10
    • 0002586126 scopus 로고
    • Sur l'homologie des variétés algébriques réelles
    • Ed. S.S. Cairns, Princeton Univ. Press, MR0200942 (34:828)
    • R. THOM Sur l'homologie des variétés algébriques réelles, Differential and Combinatorial Topology, Ed. S.S. Cairns, Princeton Univ. Press, 255-265, (1965). MR0200942 (34:828)
    • (1965) Differential and Combinatorial Topology , pp. 255-265
    • Thom, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.