Affine Baire-one functions on Choquet simplexes

被引：7
|
作者：
Spurny, J [1 ]
机构：
[1] Charles Univ, Fac Math & Phys, Prague 18675 8, Czech Republic
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2005年 / 71卷 / 02期
关键词：
D O I：
10.1017/S0004972700038211
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Metrisable Choquet simplexes with the set of extreme points being an F-σ-set are characterised by means of the behaviour of the space of affine Baire-one functions.
引用
收藏
页码：235 / 258
页数：24
相关论文
共 50 条
  • [1] On approximation of affine Baire-one functions
    Lukes, J
    Maly, J
    Netuka, I
    Smrcka, M
    Spurny, J
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 2003, 134 (1) : 255 - 287
  • [2] On approximation of affine Baire-one functions
    J. Lukeš
    J. Malý
    I. Netuka
    M. Smrčka
    J. Spurný
    [J]. Israel Journal of Mathematics, 2003, 134 : 255 - 287
  • [3] Distances to spaces of affine Baire-one functions
    Spurny, Jiri
    [J]. STUDIA MATHEMATICA, 2010, 199 (01) : 23 - 41
  • [4] Affine Baire functions on Choquet simplices
    Kacena, Miroslav
    Spurny, Jiri
    [J]. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2011, 9 (01): : 127 - 138
  • [5] EXTENSION OF CONTINUOUS FUNCTIONS TO BAIRE-ONE FUNCTIONS
    Karlova, Olena
    [J]. REAL ANALYSIS EXCHANGE, 2010, 36 (01) : 149 - 160
  • [6] The Dirichlet problem for Baire-one functions
    Spurny, Jiri
    [J]. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2004, 2 (02): : 260 - 271
  • [7] Dirichlet problem and subclasses of Baire-one functions
    Petr Pošta
    [J]. Israel Journal of Mathematics, 2018, 226 : 177 - 188
  • [8] Linear extensions of some Baire-one functions
    Sieg, Waldemar
    [J]. ARCHIV DER MATHEMATIK, 2018, 110 (02) : 175 - 182
  • [9] Extending Baire-one functions on compact spaces
    Karlova, Olena
    Mykhaylyuk, Volodymyr
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2020, 277
  • [10] Extending Baire-one functions on topological spaces
    Kalenda, OFK
    Spurny, J
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2005, 149 (1-3) : 195 - 216
12345