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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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

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

  • 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