Ordinal ultrafilters versus P-hierarchy

Andrzej Starosolski

Open Mathematics (2014)

  • Volume: 12, Issue: 1, page 84-96
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Andrzej Starosolski. "Ordinal ultrafilters versus P-hierarchy." Open Mathematics 12.1 (2014): 84-96. <http://eudml.org/doc/268990>.

@article{AndrzejStarosolski2014,
abstract = {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.},
author = {Andrzej Starosolski},
journal = {Open Mathematics},
keywords = {P-hierarchy; Ordinal ultrafilters; P-points; Monotone sequential contour; (Relatively) RK-minimal points; ordinal ultrafilters; monotone sequential contour; (relatively) RK-minimal points},
language = {eng},
number = {1},
pages = {84-96},
title = {Ordinal ultrafilters versus P-hierarchy},
url = {http://eudml.org/doc/268990},
volume = {12},
year = {2014},
}

TY - JOUR
AU - Andrzej Starosolski
TI - Ordinal ultrafilters versus P-hierarchy
JO - Open Mathematics
PY - 2014
VL - 12
IS - 1
SP - 84
EP - 96
AB - 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.
LA - eng
KW - P-hierarchy; Ordinal ultrafilters; P-points; Monotone sequential contour; (Relatively) RK-minimal points; ordinal ultrafilters; monotone sequential contour; (relatively) RK-minimal points
UR - http://eudml.org/doc/268990
ER -

References

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