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Closure, interior and neighbourhood in a category

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F18%3APU130808" target="_blank" >RIV/00216305:26230/18:PU130808 - isvavai.cz</a>

  • Result on the web

    <a href="http://dergipark.gov.tr/hujms/issue/41011/494828" target="_blank" >http://dergipark.gov.tr/hujms/issue/41011/494828</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.15672/HJMS.2018.628" target="_blank" >10.15672/HJMS.2018.628</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Closure, interior and neighbourhood in a category

  • Original language description

    The natural correspondences in topology between closure, interior and neighbourhood no longer hold in an abstract categorical setting where subobject lattices are not necessarily Boolean algebras. We analyse three canonical correspondences between closure, interior and neighbourhood operators in a category endowed with a subobject structure. While these correspondences coincide in general topology, the analysis highlights subtle dierences which distinguish different approaches taken in the literature.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS

  • ISSN

    1303-5010

  • e-ISSN

  • Volume of the periodical

    47

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    TR - TURKEY

  • Number of pages

    9

  • Pages from-to

    1512-1520

  • UT code for WoS article

    000464876200010

  • EID of the result in the Scopus database

    2-s2.0-85073870384