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2014 | 12 | 1 | 84-96
Tytuł artykułu

Ordinal ultrafilters versus P-hierarchy

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Języki publikacji
EN
Abstrakty
EN
An earlier paper [Starosolski A., P-hierarchy on βω, J. Symbolic Logic, 2008, 73(4), 1202–1214] investigated the relations between ordinal ultrafilters and the so-called P-hierarchy. The present paper focuses on the aspects of characterization of classes of ultrafilters of finite index, existence, generic existence and the Rudin-Keisler-order.
Wydawca
Czasopismo
Rocznik
Tom
12
Numer
1
Strony
84-96
Opis fizyczny
Daty
wydano
2014-01-01
online
2013-10-30
Twórcy
Bibliografia
  • [1] Baumgartner J.E., Ultrafilters on ω, J. Symbolic Logic, 1995, 60(2), 624–639 http://dx.doi.org/10.2307/2275854
  • [2] Brendle J., Between P-points and nowhere dense ultrafilters, Israel J. Math., 1999, 113, 205–230 http://dx.doi.org/10.1007/BF02780177
  • [3] Comfort W.W., Negrepontis S., The Theory of Ultrafilters, Grundlehren Math. Wiss., 211, Springer, Heidelberg-New York, 1974
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  • [5] Dolecki S., Multisequences, Quaest. Math., 2006, 29(2), 239–277 http://dx.doi.org/10.2989/16073600609486162
  • [6] Dolecki S., Mynard F., Cascades and multifilters, In: Hyperspace Topologies and Applications, La Bussière, October 5–10, 1997, Topology Appl., 2002, 104(1–3), 53–65
  • [7] Dolecki S., Starosolski A., Watson S., Extension of multisequences and countably uniradial classes of topologies, Comment. Math. Univ. Carolin., 2003, 44(1), 165–181
  • [8] Frolík Z., Sums of ultrafilters, Bull. Amer. Math. Soc., 1967, 73(1), 87–91 http://dx.doi.org/10.1090/S0002-9904-1967-11653-7
  • [9] Grimeisen G., Gefilterte Summation von Filtern und iterierte Grenzprozesse. I, Math. Annalen, 1960, 141(4), 318–342 http://dx.doi.org/10.1007/BF01360766
  • [10] Grimeisen G., Gefilterte Summation von Filtern und iterierte Grenzprozesse. II, Math. Annalen, 1961, 144(5), 386–417 http://dx.doi.org/10.1007/BF01396535
  • [11] Katětov M., On descriptive classes of functions, In: Theory of Sets and Topology, VEB Deutscher Verlag der Wissenschaften, Berlin, 1972, 265–278
  • [12] Katětov M., On descriptive classification of functions, In: General Topology and its Relations to Modern Analysis and Algebra III, Prague, August 30–September 3, 1971, Academia, Prague, 1972, 235–242
  • [13] Ketonen J., On the existence of P-points in the Stone-Čech compactification of integers, Fund. Math., 1976, 92(2), 91–94
  • [14] Laflamme C., A few special ordinal ultrafilters, J. Symbolic Logic, 1996, 61(3), 920–927 http://dx.doi.org/10.2307/2275792
  • [15] van Mill J., An introduction to βω, In: Handbook of Set-Theoretic Topology, North-Holland, Amsterdam, 1984, 503–567
  • [16] Starosolski A., Fractalness of supercontours, In: Spring Topology and Dynamical Systems Conference, Topology Proc., 2006, 30(1), 389–402
  • [17] Starosolski A., P-hierarchy on βω, J. Symbolic Logic, 2008, 73(4), 1202–1214 http://dx.doi.org/10.2178/jsl/1230396914
  • [18] Starosolski A., Cascades, order and ultrafilters, preprint avilable at http://arxiv.org/pdf/1201.2146.pdf
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-013-0320-y
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