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Closed hereditary coreflective subcategories in epireflective subcategories of Top

Result description

The aim of this paper is to investigate closed hereditary coreflective subcategories in epireflective subcategories A of Top, mainly in the case that ZD ? A ? Tych. Particularly the closed hereditary coreflective hull of the one-point compactification of the discrete space on the set of all non-negative integers in such epireflective subcategories is studied. It is proved that under some set-theoretic assumptions it is the whole category A.

Keywords

epireflective subcategoryclosed hereditary subcategorycoreflective subcategory

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Closed hereditary coreflective subcategories in epireflective subcategories of Top

  • Original language description

    The aim of this paper is to investigate closed hereditary coreflective subcategories in epireflective subcategories A of Top, mainly in the case that ZD ? A ? Tych. Particularly the closed hereditary coreflective hull of the one-point compactification of the discrete space on the set of all non-negative integers in such epireflective subcategories is studied. It is proved that under some set-theoretic assumptions it is the whole category A.

  • Czech name

  • Czech description

Classification

  • Type

    Jimp - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Mathematica Slovaca

  • ISSN

    0139-9918

  • e-ISSN

  • Volume of the periodical

    2017

  • Issue of the periodical within the volume

    67

  • Country of publishing house

    SK - SLOVAKIA

  • Number of pages

    6

  • Pages from-to

    83-88

  • UT code for WoS article

    000399003900008

  • EID of the result in the Scopus database

Basic information

Result type

Jimp - Article in a specialist periodical, which is included in the Web of Science database

Jimp

OECD FORD

Pure mathematics

Year of implementation

2017