Additive families of low Borel classes and Borel measurable selectors

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10104771" target="_blank" >RIV/00216208:11320/11:10104771 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.4153/CMB-2010-088-8" target="_blank" >http://dx.doi.org/10.4153/CMB-2010-088-8</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4153/CMB-2010-088-8" target="_blank" >10.4153/CMB-2010-088-8</a>

Result language

angličtina

Original language name

Additive families of low Borel classes and Borel measurable selectors

Original language description

We show that point-countable F-sigma-delta-additive family of subsets of an absolutely Suslin space is sigma-discretely refinable. This generalizes a theorem of R.W. Hansell. We apply this result on the existence of Borel measurable selectors for multivalued mappings of low Borel complexity, answering thus affirmatively a particular version of a question of J. Kaniewski and R. Pol.

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

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2011

Confidentiality

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

Name of the periodical

Canadian Mathematical Bulletin

ISSN

0008-4395

e-ISSN

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Volume of the periodical

54

Issue of the periodical within the volume

1

Country of publishing house

CA - CANADA

Number of pages

13

Pages from-to

180-192

UT code for WoS article

000288052200017

EID of the result in the Scopus database

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