메뉴 건너뛰기




Volumn 363, Issue 7, 2011, Pages 3621-3637

Linear σ-additivity and some applications

Author keywords

[No Author keywords available]

Indexed keywords


EID: 79953016301     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-2011-05228-1     Document Type: Article
Times cited : (38)

References (37)
  • 1
    • 70350574117 scopus 로고    scopus 로고
    • O-Boundedness of free topological groups
    • MR2563296 (2010j:54058)
    • T. Banakh, D. Repovš, and L. Zdomskyy, o-Boundedness of free topological groups, Topology Appl. 157 (2010), 466-481. MR2563296 (2010j:54058)
    • (2010) Topology Appl. , vol.157 , pp. 466-481
    • Banakh, T.1    Repovš, D.2    Zdomskyy, L.3
  • 3
    • 33644556522 scopus 로고    scopus 로고
    • Hereditary topological diagonalizations and the Menger-Hurewicz conjectures
    • DOI 10.1090/S0002-9939-05-07997-9
    • T. Bartoszyński and B. Tsaban, Hereditary topological diagonalizations and the Menger- Hurewicz Conjectures, Proceedings of the American Mathematical Society 134 (2006), 605-615. MR2176030 (2006f:54038) (Pubitemid 43294390)
    • (2006) Proceedings of the American Mathematical Society , vol.134 , Issue.2 , pp. 605-615
    • Bartoszynski, T.1    Tsaban, B.2
  • 4
    • 77649223767 scopus 로고    scopus 로고
    • in: Handbook of Set Theory (M. Foreman, A. Kanamori, and M. Magidor, eds.),Kluwer Academic Publishers, Dordrecht, to appear
    • A. Blass, Combinatorial cardinal characteristics of the continuum, in: Handbook of Set Theory (M. Foreman, A. Kanamori, and M. Magidor, eds.), Kluwer Academic Publishers, Dordrecht, to appear. http://www.math.lsa.umich.edu/ ~ablass/hbk.pdf
    • Combinatorial Cardinal Characteristics of the Continuum
    • Blass, A.1
  • 5
    • 0003166916 scopus 로고    scopus 로고
    • Generic constructions of small sets of reals
    • J. Brendle, Generic constructions of small sets of reals, Topology and its Applications 71 (1996), 125-147. MR1399552 (97i:03030) (Pubitemid 126665981)
    • (1996) Topology and its Applications , vol.71 , Issue.2 , pp. 125-147
    • Brendle, J.1
  • 6
    • 0037970156 scopus 로고    scopus 로고
    • On Hurewicz properties
    • DOI 10.1016/S0166-8641(02)00364-4, PII S0166864102003644
    • L. Bukovský and J.Haleš, On Hurewicz properties, Topology and its Applications 132 (2003), 71-79. MR1990080 (2004f:03085) (Pubitemid 36742608)
    • (2003) Topology and its Applications , vol.132 , Issue.1 , pp. 71-79
    • Bukovsky, L.1    Hales, J.2
  • 7
    • 0037836186 scopus 로고
    • Spaces not distinguishing pointwise and quasinormal convergence of real functions
    • MR1129696 (93b:54037)
    • L. Bukovský, I. Reclaw, and M. Repický, Spaces not distinguishing pointwise and quasinormal convergence of real functions, Topology and its Applications 41 (1991), 25-41. MR1129696 (93b:54037)
    • (1991) Topology and its Applications , vol.41 , pp. 25-41
    • Bukovský, L.1    Reclaw, I.2    Repický, M.3
  • 8
    • 0037498689 scopus 로고    scopus 로고
    • Spaces not distinguishing convergences of real-valued functions
    • PII S0166864199002266
    • L. Bukovský, I. Reclaw, and M. Repický, Spaces not distinguishing convergences of real-valued functions, Topology and its Applications 112 (2001), 13-40. MR1815270 (2002e:54010) (Pubitemid 33717427)
    • (2001) Topology and its Applications , vol.112 , Issue.1 , pp. 13-40
    • Bukovsky, L.1    Reclaw, I.2    Repicky, M.3
  • 9
    • 0038407931 scopus 로고    scopus 로고
    • Uncountable γ-sets under axiom CPAgamecube
    • MR1971305 (2004b:03077)
    • K. Ciesielski, A. Mill?an, and J. Pawlikowski, Uncountable γ-sets under axiom CPAgamecube, Fundamenta Mathematicae 176 (2003), 143-155. MR1971305 (2004b:03077)
    • (2003) Fundamenta Mathematicae , vol.176 , pp. 143-155
    • Ciesielski, K.1    Millán, A.2    Pawlikowski, J.3
  • 11
    • 0037498688 scopus 로고
    • On some properties of Hurewicz, Menger and Rothberger
    • MR954892 (89g:54061)
    • D. Fremlin and A. Miller, On some properties of Hurewicz, Menger and Rothberger, Fundamenta Mathematica 129 (1988), 17-33. MR954892 (89g:54061)
    • (1988) Fundamenta Mathematica , vol.129 , pp. 17-33
    • Fremlin, D.1    Miller, A.2
  • 12
    • 0001740764 scopus 로고
    • γ-sets and other singular sets of real numbers
    • MR738943 (85f:54011)
    • F. Galvin and A. Miller, γ-sets and other singular sets of real numbers, Topology and its Applications 17 (1984), 145-155. MR738943 (85f:54011)
    • (1984) Topology and its Applications , vol.17 , pp. 145-155
    • Galvin, F.1    Miller, A.2
  • 13
    • 49049135092 scopus 로고
    • Some properties of C(X).I
    • MR667661 (84f:54021)
    • J. Gerlits and Zs. Nagy, Some properties of C(X). I, Topology and its Applications 14 (1982), 151-161. MR667661 (84f:54021)
    • (1982) Topology and its Applications , vol.14 , pp. 151-161
    • Gerlits, J.1    Nagy, Zs.2
  • 14
    • 18444362138 scopus 로고    scopus 로고
    • Fréchet urysohn for finite sets
    • MR2139755 (2006i:54004)
    • Gary Gruenhage and Paul Szeptycki, Fréchet Urysohn for finite sets, Topology and its Applications 151 (2005) 238-259. MR2139755 (2006i:54004)
    • (2005) Topology and its Applications , vol.151 , pp. 238-259
    • Gruenhage, G.1    Szeptycki, P.2
  • 15
    • 49549108199 scopus 로고    scopus 로고
    • There are no hereditary productive γ-spaces
    • MR2445301 (2009f:54029)
    • F. Jordan, There are no hereditary productive γ-spaces, Topology and its Applications 155 (2008), 1786-1791. MR2445301 (2009f:54029)
    • (2008) Topology and its Applications , vol.155 , pp. 1786-1791
    • Jordan, F.1
  • 18
    • 1942506047 scopus 로고    scopus 로고
    • Combinatorics of open covers (VII): Groupability
    • Lj. Kočinac and M. Scheepers, Combinatorics of open covers. VII. Groupability, Fundamenta Mathematicae 179 (2003), 131-155. MR2029229 (2005c:54020) (Pubitemid 38516545)
    • (2003) Fundamenta Mathematicae , vol.179 , Issue.2 , pp. 131-155
    • Kocinac, L.D.R.1    Scheepers, M.2
  • 19
    • 33746043529 scopus 로고    scopus 로고
    • Selected results on selection principles
    • (Sh. Rezapour, ed.), July 15-17, Tabriz, Iran MR2090207 (2005g:54038)
    • Lj. Kočinac, Selected results on selection principles, in: Proceedings of the 3rd Seminar on Geometry and Topology (Sh. Rezapour, ed.), July 15-17, Tabriz, Iran, 2004, 71-104. MR2090207 (2005g:54038)
    • (2004) Proceedings of the 3rd Seminar on Geometry and Topology , pp. 71-104
    • Kočinac, L.1
  • 20
    • 84955132104 scopus 로고    scopus 로고
    • A nonhereditary Borel-cover γ-set
    • MR2083799 (2005g:03079)
    • A. Miller, A nonhereditary Borel-cover γ-set, Real Analysis Exchange 29 (2003/4), 601-606. MR2083799 (2005g:03079)
    • (2003) Real Analysis Exchange , vol.29 , pp. 601-606
    • Miller, A.1
  • 21
    • 18244406264 scopus 로고    scopus 로고
    • The γ-Borel conjecture
    • Appendix in. MR2139770 (2005m:03096)
    • A. Miller, The γ-Borel conjecture, Archive for Mathematical Logic 44 (2005), 425-434. Appendix in http://arxiv.org/math/math.LO/0312308. MR2139770 (2005m:03096)
    • (2005) Archive for Mathematical Logic , vol.44 , pp. 425-434
    • Miller, A.1
  • 22
    • 60249096421 scopus 로고    scopus 로고
    • Cardinal characteristic for relative γ-sets
    • MR2498919
    • A. Miller, Cardinal characteristic for relative γ-sets, Topology and its Applications 156 (2009), 872-878. MR2498919
    • (2009) Topology and its Applications , vol.156 , pp. 872-878
    • Miller, A.1
  • 23
  • 24
    • 0038173864 scopus 로고    scopus 로고
    • Combinatorics of open covers I: Ramsey theory
    • M. Scheepers, Combinatorics of open covers I: Ramsey theory, Topology and its Applications 69 (1996), 31-62. MR1378387 (97h:90123) (Pubitemid 126665933)
    • (1996) Topology and its Applications , vol.69 , Issue.1 , pp. 31-62
    • Scheepers, M.1
  • 25
    • 15944423301 scopus 로고    scopus 로고
    • p(X) and Arhangel'skiǐ's ai spaces
    • MR1645184 (99g:54018)
    • p(X) and Arhangel'skiǐ's ai spaces, Topology and its Applications 89 (1998), 265-275. MR1645184 (99g:54018)
    • (1998) Topology and its Applications , vol.89 , pp. 265-275
    • Scheepers, M.1
  • 26
    • 0037836180 scopus 로고    scopus 로고
    • p(X) and a covering property
    • MR1727383 (2000i:54014)
    • p(X) and a covering property, East-West Journal of Mathematics 1 (1999), 207-214. MR1727383 (2000i:54014)
    • (1999) East-West Journal of Mathematics , vol.1 , pp. 207-214
    • Scheepers, M.1
  • 27
    • 29744467719 scopus 로고    scopus 로고
    • Selection principles and covering properties in topology
    • MR2112729 (2005h:54024)
    • M. Scheepers, Selection principles and covering properties in topology, Note di Matematica 22 (2003), 3-41. MR2112729 (2005h:54024)
    • (2003) Note di Matematica , vol.22 , pp. 3-41
    • Scheepers, M.1
  • 28
    • 0038351767 scopus 로고    scopus 로고
    • The combinatorics of Borel covers
    • DOI 10.1016/S0166-8641(01)00078-5, PII S0166864101000785
    • M. Scheepers and B. Tsaban, The combinatorics of Borel covers, Topology and its Applications 121 (2002), 357-382. MR1908999 (2003e:03091) (Pubitemid 36794891)
    • (2002) Topology and its Applications , vol.121 , Issue.3 , pp. 357-382
    • Scheepers, M.1    Tsaban, B.2
  • 29
    • 0040782237 scopus 로고    scopus 로고
    • Topological groups for topologists. II, Boletín de la Sociedad Matemática Mexicana
    • MR1768506 (2001g:22004)
    • M. Tkachenko, Topological groups for topologists. II, Boletín de la Sociedad Matemática Mexicana. Tercera Serie 6 (2000), 1-41. MR1768506 (2001g:22004)
    • (2000) Tercera Serie , vol.6 , pp. 1-41
    • Tkachenko, M.1
  • 30
    • 25944432079 scopus 로고
    • Publications de l'Institut Mathématique (new series)MR1387352 (98g:03116)
    • S. Todorčević, Aronszajn orderings, Duro Kurepa memorial volume, Publications de l'Institut Mathématique (new series) 57 (1995), 29-46. MR1387352 (98g:03116)
    • (1995) Aronszajn orderings, Duro Kurepa memorial volume , vol.57 , pp. 29-46
    • Todorčević, S.1
  • 31
    • 36148947045 scopus 로고    scopus 로고
    • Some new directions in infinite-combinatorial topology
    • J. Bagaria and S. Todorč, eds., Trends in Mathematics, Birkhäuser. MR2267150 (2007f:03064)
    • B. Tsaban, Some new directions in infinite-combinatorial topology, Set Theory, J. Bagaria and S. Todorč, eds., Trends in Mathematics, Birkhäuser (2006), 225-255. MR2267150 (2007f:03064)
    • (2006) Set Theory , pp. 225-255
    • Tsaban, B.1
  • 32
    • 33644763806 scopus 로고    scopus 로고
    • O-Bounded groups and other topological groups with strong combinatorial properties
    • DOI 10.1090/S0002-9939-05-08034-2, PII S0002993905080342
    • B. Tsaban, o-bounded groups and other topological groups with strong combinatorial properties, Proceedings of the American Mathematical Society 134 (2006), 881-891. MR2180906 (2006h:54034) (Pubitemid 43340309)
    • (2006) Proceedings of the American Mathematical Society , vol.134 , Issue.3 , pp. 881-891
    • Tsaban, B.1
  • 33
    • 57849115207 scopus 로고    scopus 로고
    • Additivity numbers of covering properties
    • (L. Kočinac, ed.), Quaderni di Matematica 18, Seconda Universita di Napoli, Caserta. MR2395757 (2009e:03088)
    • B. Tsaban, Additivity numbers of covering properties, Selection Principles and Covering Properties in Topology (L. Kočinac, ed.), Quaderni di Matematica 18, Seconda Universita di Napoli, Caserta (2006), 245-282. MR2395757 (2009e:03088)
    • (2006) Selection Principles and Covering Properties in Topology , pp. 245-282
    • Tsaban, B.1
  • 34
    • 79953018074 scopus 로고    scopus 로고
    • A new selection principle
    • MR2363173 (2008j:54017)
    • B. Tsaban, A new selection principle, Topology Proceedings 31 (2007), 319-329. MR2363173 (2008j:54017)
    • (2007) Topology Proceedings , vol.31 , pp. 319-329
    • Tsaban, B.1
  • 35
    • 49549094369 scopus 로고    scopus 로고
    • Selection principles and special sets of reals
    • E. Pearl, ed.,Elsevier B.V.
    • B. Tsaban, Selection principles and special sets of reals, Open Problems in Topology II, E. Pearl, ed., Elsevier B.V. (2007), 91-108.
    • (2007) Open Problems in Topology II , pp. 91-108
    • Tsaban, B.1
  • 36
    • 57849141815 scopus 로고    scopus 로고
    • Combinatorial images of sets of reals and semifilter trichotomy
    • MR2467216 (2009h:03064)
    • B. Tsaban and L. Zdomskyy, Combinatorial images of sets of reals and semifilter trichotomy, Journal of Symbolic Logic, 73 (2008), 1278-1288. MR2467216 (2009h:03064)
    • (2008) Journal of Symbolic Logic , vol.73 , pp. 1278-1288
    • Tsaban, B.1    Zdomskyy, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.