Ideals and sequentially compact spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F09%3A00502506" target="_blank" >RIV/49777513:23520/09:00502506 - 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

Ideals and sequentially compact spaces

Original language description

A topological space X is said to be an I_{1/n}-space if for every sequence <x_n> in X there exists a converging subsequence <x_{n_k}> such that the set {x_{k_n}: n in N} does not belong to the summable ideal. Every I_{1/n}-space is sequentially compact,but not every sequentially compact space is I_{1/n}-space. Assuming Martin's axiom for sigma-centered posets we construct a van der Waerden space that is not an I_{1/n}-space and an I_{1/n}-space that is not Hindman.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2009

Confidentiality

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

Name of the periodical

Topology Proceedings

ISSN

0146-4124

e-ISSN

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Volume of the periodical

33

Issue of the periodical within the volume

1

Country of publishing house

CA - CANADA

Number of pages

15

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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