Products of non-sigma-lower porous sets

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10172641" target="_blank" >RIV/00216208:11320/13:10172641 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s10587-013-0014-4" target="_blank" >http://dx.doi.org/10.1007/s10587-013-0014-4</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10587-013-0014-4" target="_blank" >10.1007/s10587-013-0014-4</a>

Result language

angličtina

Original language name

Products of non-sigma-lower porous sets

Original language description

In the present article we provide an example of two closed non-sigma-lower porous sets of real numbers A, B such that the product A x B is lower porous. On the other hand, we prove the following: Let X and Y be topologically complete metric spaces, let Abe a non-sigma-lower porous Suslin subset of X and let B be a non-sigma-porous Suslin subset of Y. Then the product A x B is non-sigma-lower porous. We also provide a brief summary of some basic properties of lower porosity, including a simple characterization of Suslin non-sigma-lower porous sets in topologically complete metric spaces.

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

2013

Confidentiality

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

Name of the periodical

Czechoslovak Mathematical Journal

ISSN

0011-4642

e-ISSN

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Volume of the periodical

63

Issue of the periodical within the volume

1

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

13

Pages from-to

205-217

UT code for WoS article

000316756300014

EID of the result in the Scopus database

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