Statistical convergence in topology
Tóm tắt
Từ khóa
Tài liệu tham khảo
Arhangel'skiiˇ, 1972, The frequency spectrum of a topological space and the classification of spaces, Sov. Math. Dokl., 13, 1185
Arhangel'skiiˇ, 1992
Červenanský, 1998, Statistical convergence and statistical continuity, Zb. Vedeckých Prác MtFSTU, 6, 207
Činčura, 2004, Sets of statistical cluster points and I-cluster points, Real Anal. Exchange, 30, 565, 10.14321/realanalexch.30.2.0565
Connor, 1988, The statistical and strong p-Cesaro convergence of sequences, Analysis, 8, 47, 10.1524/anly.1988.8.12.47
Connor, 1992, R-type summability methods, Cauchy criteria, P-sets and statistical convergence, Proc. Amer. Math. Soc., 115, 319
G. Di Maio, Lj.D.R. Kočinac, Some covering properties of hyperspaces, Topology Appl., in press doi:10.1016/j.topol.2007.05.025
Di Maio, 2005, Selection principles and hyperspace topologies, Topology Appl., 153, 912, 10.1016/j.topol.2005.01.020
Di Maio, 2007, Convergence properties of hyperspaces, J. Korean Math. Soc., 44, 845, 10.4134/JKMS.2007.44.4.845
Di Maio, 2004, Uniformizing (proximal) Δ-topologies, Topology Appl., 137, 99, 10.1016/S0166-8641(03)00202-5
Engelking, 1989
Erdös, 1989, Sur les densities de certaines suites d'entiers, Proc. London Math. Soc. (3), 59, 417, 10.1112/plms/s3-59.3.417
Fridy, 1993, Statistical limit points, Proc. Amer. Math. Soc., 118, 1187, 10.1090/S0002-9939-1993-1181163-6
Fridy, 1998, Tauberian theorems via statistical convergence, J. Math. Anal. Appl., 228, 73, 10.1006/jmaa.1998.6118
Gadjiev, 2002, Some approximation theorems via statistical convergence, Rocky Mountain J. Math., 32, 129, 10.1216/rmjm/1030539612
García-Ferreira, 2007, Ultrafilter limit points in metric dynamical systems, Comment. Math. Univ. Carolin., 48, 465
García-Ferreira, 1994, p-Fréchet–Urysohn property of function spaces, Topology Appl., 58, 157, 10.1016/0166-8641(94)90129-5
Halberstam, 1966
Hurewicz, 1925, Über die Verallgemeinerung des Borelschen Theorems, Math. Z., 24, 401, 10.1007/BF01216792
Just, 1996, The combinatorics of open covers II, Topology Appl., 73, 241, 10.1016/S0166-8641(96)00075-2
Kočinac, 2003, Closure properties of function spaces, Appl. Gen. Topol., 4, 255, 10.4995/agt.2003.2030
Kočinac, 2003, Generalized Ramsey theory and topological properties: A survey, Rend. Sem. Mat. Messina Ser. II, 25, 119
Kočinac, 2003, Selection principles in uniform spaces, Note Mat., 22, 127
Lj.D.R. Kočinac, Selected results on selection principles, in: Proc. Third Seminar on Geometry and Topology, Tabriz, Iran, July 15–17, 2004, pp. 71–104
Kočinac, 2005, γ-Sets, γk-sets and hyperspaces, Math. Balkanica, 19, 109
Kočinac, 2006, Some covering properties in topological and uniform spaces, Proc. Steklov Inst. Math., 252, 122, 10.1134/S0081543806010123
Kočinac, 2006, Selection principles in hyperspaces, vol. 18, 157
Lj.D.R. Kočinac, Selection principles related to αi-properties, Taiwanese J. Math. 12 (2008), avaliable at http://arxiv.math.GN/0608107
Kočinac, 2003, Combinatorics of open covers (VII): Groupability, Fund. Math., 179, 131, 10.4064/fm179-2-2
Kostyrko, 2000, On statistical limit points, Proc. Amer. Math. Soc., 129, 2647, 10.1090/S0002-9939-00-05891-3
Lahiri, 2005, I and I∗-convergence in topological spaces, Math. Bohem., 130, 153, 10.21136/MB.2005.134133
Miller, 1995, A measure theoretical subsequence characterization of statistical convergence, Trans. Amer. Math. Soc., 347, 1811, 10.1090/S0002-9947-1995-1260176-6
Niven, 1991
Ostmann, 1956
Šalát, 1980, On statistically convergent sequences of real numbers, Math. Slovaca, 30, 139
Pehlivan, 2000, Statistical cluster points and turnpike, Optimization, 48, 93, 10.1080/02331930008844495
N. Samet, B. Tsaban, Accept/reject, point-open, and other games, in preparation
N. Samet, B. Tsaban, Qualitative Ramsey theory, in preparation
Scheepers, 1996, Combinatorics of open covers I: Ramsey Theory, Topology Appl., 69, 31, 10.1016/0166-8641(95)00067-4
Scheepers, 2003, Selection principles and covering properties in topology, Note Mat., 22, 3
Schoenberg, 1959, The integrability of certain functions and related summability methods, Amer. Math. Monthly, 66, 361, 10.2307/2308747
Steinhaus, 1951, Sur la convergence ordinaire et la convergence asymptotique, Colloq. Math., 2, 73
Tsaban, 2006, Some new directions in infinite-combinatorial topology, 225
Zygmund, 1979