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Complementability of spaces of affine continuous functions on simplices

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F08%3A00100441" target="_blank" >RIV/00216208:11320/08:00100441 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Complementability of spaces of affine continuous functions on simplices

  • Original language description

    We construct metrizable simplices X-1 and X-2 and a homeornorphism phi (ext X-1) over bar -} (ext X-2) over bar such that phi(ext X-1) = ext X-2, the space U(X-1) U(X-2) is not complemented in any C(K) space. This shows that complementability of U(X) cannot be determined by topological properties of the couple (ext X, (ext X) over bar).

  • Czech name

    Komplementovatelnost prostorů spojitých afinních funkcí na simplexech

  • Czech description

    Je zkoumána komplementovatelnost prostorů spojitých afinních funkcí.

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

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2008

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Bulletin of the Belgian Mathematical Society - Simon Stevin

  • ISSN

    1370-1444

  • e-ISSN

  • Volume of the periodical

    15

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    BE - BELGIUM

  • Number of pages

    8

  • Pages from-to

  • UT code for WoS article

    000260559500008

  • EID of the result in the Scopus database