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Volumn 21, Issue 2, 2008, Pages 563-596

Groups, measures, and the nip

Author keywords

Compact lie group; Independence property; Keisler measure; O minimal

Indexed keywords


EID: 63049095927     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0894-0347-07-00558-9     Document Type: Article
Times cited : (200)

References (27)
  • 1
    • 0032222036 scopus 로고    scopus 로고
    • Paires de structures o-minimales
    • MR1627306 99m:03063
    • Y. Baisalov and B. Poizat, Paires de structures o-minimales, JSL 63 (1998), 570-578. MR1627306 (99m:03063)
    • (1998) JSL , vol.63 , pp. 570-578
    • Baisalov, Y.1    Poizat, B.2
  • 2
    • 10844232946 scopus 로고    scopus 로고
    • An additive measure in o-minimal expansions of fields
    • MR2104681 2005k:03087
    • A. Berarducci and M. Otero, An additive measure in o-minimal expansions of fields, Quarterly Journal of Mathematics 55 (2004), 411-419. MR2104681 (2005k:03087)
    • (2004) Quarterly Journal of Mathematics , vol.55 , pp. 411-419
    • Berarducci, A.1    Otero, M.2
  • 3
    • 0001770387 scopus 로고    scopus 로고
    • Intersection theory for o-minimal structures
    • Lemma 10.5. MR1807841 2001m:03074
    • A. Berarducci and M. Otero, Intersection Theory for o-minimal structures, APAL 107 (2001), 87-119, Lemma 10.5. MR1807841 (2001m:03074)
    • (2001) APAL , vol.107 , pp. 87-119
    • Berarducci, A.1    Otero, M.2
  • 5
    • 1842526758 scopus 로고    scopus 로고
    • Forking and independence
    • in, MR2039358 2005g:03050
    • A. Dolich, Forking and independence in o-minimal theories, JSL 69 (2004), 215-240. MR2039358 (2005g:03050)
    • (2004) O-minimal Theories, JSL , vol.69 , pp. 215-240
    • Dolich, A.1
  • 6
    • 33646707843 scopus 로고    scopus 로고
    • Locally definable groups in o-minimal structures
    • MR2230327
    • M. Edmundo, Locally definable groups in o-minimal structures, J. of Algebra 301 (2006), 194-223. MR2230327
    • (2006) J. of Algebra , vol.301 , pp. 194-223
    • Edmundo, M.1
  • 7
    • 19144369428 scopus 로고    scopus 로고
    • Definably compact abelian groups
    • MR2114966 2005m:03073
    • M. Edmundo and M. Otero, Definably compact abelian groups, Journal of Math. Logic, 4 (2004), 163-180. MR2114966 (2005m:03073)
    • (2004) Journal of Math. Logic. , vol.4 , pp. 163-180
    • Edmundo, M.1    Otero, M.2
  • 8
    • 77950608000 scopus 로고    scopus 로고
    • Ph. D. thesis, U. of Notre Dame
    • P. Eleftheriou, Ph. D. thesis, U. of Notre Dame.
    • Eleftheriou, P.1
  • 9
    • 77950612654 scopus 로고    scopus 로고
    • Euclid, Elements, Book V, tr. T. L. Heath
    • Euclid, Elements, Book V, tr. T. L. Heath.
  • 10
    • 0035982257 scopus 로고    scopus 로고
    • A primer of simple theories
    • MR1923196 2003f:03043
    • R. Grossberg, J. Iovino, and O. Lessmann, A primer of simple theories, Archive Math. Logic 41 (2002), 541-580. MR1923196 (2003f:03043)
    • (2002) Archive Math. Logic , vol.41 , pp. 541-580
    • Grossberg, R.1    Iovino, J.2    Lessmann, O.3
  • 11
    • 0003205064 scopus 로고
    • Abstract harmonic analysis
    • Fundamental Principles of Mathematical Sciences, Springer- Verlag, Berlin, MR551496 81k:43001
    • E. Hewitt and K. Ross, Abstract harmonic analysis. Vol. I, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 115, 2, Springer- Verlag, Berlin, 1979. MR551496 (81k:43001)
    • (1979) Grundlehren Der Mathematischen Wissenschaften , vol.1-115 , pp. 2
    • Hewitt, E.1    Ross, K.2
  • 12
    • 79956104401 scopus 로고    scopus 로고
    • Valued fields, metastable groups
    • E. Hrushovski, Valued fields, metastable groups, draft, 2004.
    • (2004) Draft
    • Hrushovski, E.1
  • 13
    • 45949124771 scopus 로고
    • Measures and forking
    • MR890599 88i:03052
    • H. J. Keisler, Measures and Forking, Annals of Pure and Applied Logic 43 (1987), 119-169. MR890599 (88i:03052)
    • (1987) Annals of Pure and Applied Logic , vol.43 , pp. 119-169
    • Keisler, H.J.1
  • 14
    • 33750691997 scopus 로고    scopus 로고
    • Weak generic types and coverings of groups
    • L. Newelski and M. Petrykowski, Weak generic types and coverings of groups, Fund. Math. 191 (2006), 201-225.
    • (2006) Fund. Math. , vol.191 , pp. 201-225
    • Newelski, L.1    Petrykowski, M.2
  • 16
    • 77950621251 scopus 로고    scopus 로고
    • Definable groups and p-adic lie groups
    • A. Onshuus and A. Pillay, Definable groups and p-adic Lie groups, preprint, 2005.
    • (2005) Preprint
    • Onshuus, A.1    Pillay, A.2
  • 18
    • 0036151279 scopus 로고    scopus 로고
    • Linear groups definable in o-minimal structures
    • MR1873380 2002i:03043
    • Y. Peterzil, A. Pillay and S. Starchenko, Linear groups definable in o-minimal structures, J. of Algebra 247 (2002), 1-23. MR1873380 (2002i:03043)
    • (2002) J. of Algebra , vol.247 , pp. 1-23
    • Peterzil, Y.1    Pillay, A.2    Starchenko, S.3
  • 19
    • 33947268572 scopus 로고    scopus 로고
    • Generic sets in definably compact groups
    • Y. Peterzil and A. Pillay, Generic sets in definably compact groups, Fund. Math. 193 (2007), 153-170.
    • (2007) Fund. Math. , vol.193 , pp. 153-170
    • Peterzil, Y.1    Pillay, A.2
  • 20
    • 0033570863 scopus 로고    scopus 로고
    • Definable homomorphisms of abelian groups in o-minimal structures
    • MR1729742 2000m:03090
    • Y. Peterzil and S. Starchenko, Definable homomorphisms of abelian groups in o-minimal structures, Annals of Pure and Applied Logic 101 (2000), 1-27. MR1729742 (2000m:03090)
    • (2000) Annals of Pure and Applied Logic , vol.101 , pp. 1-27
    • Peterzil, Y.1    Starchenko, S.2
  • 21
    • 38049122422 scopus 로고    scopus 로고
    • Uniform definability of the weierstrass-functions and generalized tori of dimension one
    • MR2134454 2006d:03063
    • Y. Peterzil and S. Starchenko, Uniform definability of the Weierstrass-functions and generalized tori of dimension one, Selecta Mathematica, New Series 10 (2004), 525-550. MR2134454 (2006d:03063)
    • (2004) Selecta Mathematica, New Series , vol.10 , pp. 525-550
    • Peterzil, Y.1    Starchenko, S.2
  • 22
    • 0001271538 scopus 로고    scopus 로고
    • Definable compactness and definable subgroups of o-minimal groups
    • MR1709079 2000i:03055
    • Y. Peterzil and C. Steinhorn, Definable compactness and definable subgroups of o-minimal groups, J. London Math. Soc 59 (1999), 769-786. MR1709079 (2000i:03055)
    • (1999) J. London Math. Soc. , vol.59 , pp. 769-786
    • Peterzil, Y.1    Steinhorn, C.2
  • 23
    • 19144372255 scopus 로고    scopus 로고
    • Type-definability, compact lie groups, and o-minimality
    • MR2114965 2006d:03064
    • A. Pillay, Type-definability, compact Lie groups, and o-minimality, J. Math. Logic 4 (2004), 147-162. MR2114965 (2006d:03064)
    • (2004) J. Math. Logic , vol.4 , pp. 147-162
    • Pillay, A.1
  • 24
    • 77950622489 scopus 로고    scopus 로고
    • Geometric stability theory
    • MR1429864 98a:03049
    • A. Pillay, Geometric Stability Theory, OUP, 1996. MR1429864 (98a:03049)
    • (1996) OUP
    • Pillay, A.1
  • 25
    • 0004189645 scopus 로고    scopus 로고
    • Springer-Verlag, MR1757487 2001a:03072
    • B. Poizat, A Course in Model Theory, Springer-Verlag, 2000. MR1757487 (2001a:03072)
    • (2000) A Course in Model Theory
    • Poizat, B.1
  • 26
    • 32644463397 scopus 로고    scopus 로고
    • Classification theory for elementary classes with the dependence property - A modest beginning
    • MR2062198 2005m:03063
    • S. Shelah, Classification theory for elementary classes with the dependence property - a modest beginning, Sci. Japonicae 59 (2004), 265-316. MR2062198 (2005m:03063)
    • (2004) Sci. Japonicae , vol.59 , pp. 265-316
    • Shelah, S.1
  • 27
    • 77950625685 scopus 로고    scopus 로고
    • Minimal bounded index subgroup for dependent theories, to appear
    • in
    • S. Shelah, Minimal bounded index subgroup for dependent theories, to appear in Proceedings AMS.
    • Proceedings AMS
    • Shelah, S.1


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