Productivity of sequences in non-abelian topological groups
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F44555601%3A13440%2F15%3A43886682" target="_blank" >RIV/44555601:13440/15:43886682 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.topol.2015.05.084" target="_blank" >http://dx.doi.org/10.1016/j.topol.2015.05.084</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.topol.2015.05.084" target="_blank" >10.1016/j.topol.2015.05.084</a>
Alternative languages
Result language
angličtina
Original language name
Productivity of sequences in non-abelian topological groups
Original language description
In [DSS] D. Dikranjan, D.B. Shakhmatov, J. Spv{e}v'{a}k, {em Productivity of sequences with respect to a given weight function/}, Topol. Appl. 158 (2011), 298-324 various natural generalizations of the classical concepts of ''convergent series'', ''unconditionally convergent series'' and ''absolutely convergent series'' were thoroughly studied in the realm of topological groups. Nevertheless, some natural questions posed in [DSS] that have answers for abelian topological groups remained open in therealm of non-abelian topological groups. In our paper we provide a general schema for constructing strong counterexamples that answers many of those questions in negative.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GPP201%2F12%2FP724" target="_blank" >GPP201/12/P724: Relations between topological spaces and their topological groups of G-valued continuous functions for a given topological group G</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Topology and its Applications
ISSN
0166-8641
e-ISSN
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Volume of the periodical
2015
Issue of the periodical within the volume
191
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
15
Pages from-to
163-177
UT code for WoS article
000358459400017
EID of the result in the Scopus database
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