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Group-valued continuous functions with the topology of pointwise convergence

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F44555601%3A13440%2F10%3A00005948" target="_blank" >RIV/44555601:13440/10:00005948 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Group-valued continuous functions with the topology of pointwise convergence

  • Original language description

    Let G be a topological group with the identity element e Given a space X, we denote by COX G) the group of all continuous functions from X to G endowed with the topology of pointwise convergence. and we say that X is (a) G-regular if, for each closed setF subset of X and every point x is an element of X F, there exist f is an element of C-p(X G) and g is an element of G {e} such that f(x) = g and f (F} subset of {e}, (b) G* -regular provided that there exists g is an element of G {e} such that, for each closed set F subset of X and every point x is an element of X F, one can find f is an element of C-p(X G) With f (x) - g and f (F) subset of {e} Spaces X and Y are G-equivalent provided that the topological groups C-p (X, G) and C-p(Y G) are topologically isomorphic. We investigate which topological properties are preserved by G-equivalence, with a special emphasis being placed on characterizing topological properties of X in terms of those of C-p(X,G) Since -equivalence coinci

  • 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

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2010

  • 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

    157

  • Issue of the periodical within the volume

    8

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    23

  • Pages from-to

  • UT code for WoS article

    000277677500028

  • EID of the result in the Scopus database