메뉴 건너뛰기




Volumn 5, Issue 1, 2005, Pages 145-169

Euler integration and Euler multiplication

Author keywords

Integral geometry; O minimality; Radon transform

Indexed keywords


EID: 33744739784     PISSN: 1615715X     EISSN: None     Source Type: Journal    
DOI: 10.1515/advg.2005.5.1.145     Document Type: Article
Times cited : (10)

References (13)
  • 1
    • 0036433746 scopus 로고    scopus 로고
    • Lipschitz-Killing invariants
    • MR 2004a:53098 Zbl 01848357
    • A. Bernig, L. Bröcker, Lipschitz-Killing invariants. Math. Nachr. 245 (2002), 5-25. MR 2004a:53098 Zbl 01848357
    • (2002) Math. Nachr. , vol.245 , pp. 5-25
    • Bernig, A.1    Bröcker, L.2
  • 2
    • 18244425953 scopus 로고    scopus 로고
    • Integral geometry of tame sets
    • MR 2002e:53113 Zbl 1023.53057
    • L. Bröcker, M. Kuppe, Integral geometry of tame sets. Geom. Dedicata 82 (2000), 285-323. MR 2002e:53113 Zbl 1023.53057
    • (2000) Geom. Dedicata , vol.82 , pp. 285-323
    • Bröcker, L.1    Kuppe, M.2
  • 3
    • 0000753208 scopus 로고
    • On the curvature of piecewise flat spaces
    • MR 85m:53037 Zbl 0559.53028
    • J. Cheeger, W. Müller, R. Schrader, On the curvature of piecewise flat spaces. Comm. Math. Phys. 92 (1984), 405-454. MR 85m:53037 Zbl 0559.53028
    • (1984) Comm. Math. Phys. , vol.92 , pp. 405-454
    • Cheeger, J.1    Müller, W.2    Schrader, R.3
  • 5
    • 84972530345 scopus 로고
    • On the extension of additive functionals on classes of convex sets
    • MR 58 #24003 Zbl 0384.52001
    • H. Groemer, On the extension of additive functionals on classes of convex sets. Pacific J. Math. 75 (1978), 397-410. MR 58 #24003 Zbl 0384.52001
    • (1978) Pacific J. Math. , vol.75 , pp. 397-410
    • Groemer, H.1
  • 7
    • 0031537224 scopus 로고    scopus 로고
    • A. Parusiński, Algebraically constructible functions
    • MR 98f:14047 Zbl 0913.14018
    • C. McCrory, A. Parusiński, Algebraically constructible functions. Ann. Sci. École Norm. Sup. (4) 30 (1997), 527-552. MR 98f:14047 Zbl 0913.14018
    • (1997) Ann. Sci. École Norm. Sup. (4) , vol.30 , pp. 527-552
    • McCrory, C.1
  • 8
    • 0001065886 scopus 로고
    • Finitely additive measures on virtual polytopes
    • A. Pukhlikov, A. Khovanskij, Finitely additive measures on virtual polytopes. St. Petersburg Math. J. 4 (1993), 337-356.
    • (1993) St. Petersburg Math. J. , vol.4 , pp. 337-356
    • Pukhlikov, A.1    Khovanskij, A.2
  • 9
    • 0141569191 scopus 로고    scopus 로고
    • Quasianalytic Denjoy-Carleman classes and o-minimality
    • MR 2004g:14065 Zbl 01963974
    • J.-P. Rolin, P. Speissegger, A. J. Wilkie, Quasianalytic Denjoy-Carleman classes and o-minimality. J. Amer. Math. Soc. 16 (2003), 751-777. MR 2004g:14065 Zbl 01963974
    • (2003) J. Amer. Math. Soc. , vol.16 , pp. 751-777
    • Rolin, J.-P.1    Speissegger, P.2    Wilkie, A.J.3
  • 10
    • 0002048665 scopus 로고
    • Operations on constructible functions
    • MR 92h:32012 Zbl 0732.32016
    • P. Schapira, Operations on constructible functions. J. Pure Appl. Algebra 72 (1991), 83-93. MR 92h:32012 Zbl 0732.32016
    • (1991) J. Pure Appl. Algebra , vol.72 , pp. 83-93
    • Schapira, P.1
  • 12
    • 0001667337 scopus 로고
    • Some integral calculus based on Euler characteristic
    • Topology and geometry - Rohlin Seminar, Springer. MR 90a:57029 Zbl 0686.14019
    • O. Y. Viro, Some integral calculus based on Euler characteristic. In: Topology and geometry - Rohlin Seminar, volume 1346 of Lecture Notes in Math., 127-138, Springer 1988. MR 90a:57029 Zbl 0686.14019
    • (1988) Lecture Notes in Math. , vol.1346 , pp. 127-138
    • Viro, O.Y.1
  • 13
    • 0030503308 scopus 로고    scopus 로고
    • Model completeness results for expansions of the ordered field of real numbers by restricted Pfaffian functions and the exponential function
    • MR 98j:03052 Zbl 0892.03013
    • A. J. Wilkie, Model completeness results for expansions of the ordered field of real numbers by restricted Pfaffian functions and the exponential function. J. Amer. Math. Soc. 9 (1996), 1051-1094. MR 98j:03052 Zbl 0892.03013
    • (1996) J. Amer. Math. Soc. , vol.9 , pp. 1051-1094
    • Wilkie, A.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.