I-ultrafilters and summable ideals

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F10%3A00503952" target="_blank" >RIV/49777513:23520/10:00503952 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

I-ultrafilters and summable ideals

Original language description

We study I-ultrafilters and two weaker notions in the setting where I is a tall summable ideal Ig on the natural numbers. Such ultrafilters are closely related to rapid ultrafilters. We consider various aspects of this relation and show some similaritiesand differences between the two classes of ultrafilters. Under Martin's axiom for countable posets we construct a rapid ultrafilter which is not an Ig-ultrafilter for arbitrary summable ideal Ig or an ultrafilter which is an Ig-ultrafilter for every tall summable ideal Ig, but is not a Q-point.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2010

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Proceedings of 10th Asian Logic Conference

ISBN

978-981-4293-01-3

ISSN

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e-ISSN

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Number of pages

11

Pages from-to

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Publisher name

World Scientific Publishing Co. Pte. Ltd.

Place of publication

Singapore

Event location

Kobe University, Japan

Event date

Jan 1, 2008

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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