Strongly ultrametric preserving functions

被引：1
|
作者：
Dovgoshey, Oleksiy [1 ,2 ]
机构：
[1] NAS Ukraine, Inst Appl Math & Mech, Sloviansk, Ukraine
[2] Univ Turku, Dept Math & Stat, Turku, Finland
来源：
TOPOLOGY AND ITS APPLICATIONS | 2024年 / 351卷
基金：
芬兰科学院;
关键词：
Compact ultrametric space; Totally bounded ultrametric space; Ultrametric preserving function; Strongly ultrametric preserving function; PRODUCTS; SPACES;
D O I：
10.1016/j.topol.2024.108931
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An ultrametric preserving function f is said to be strongly ultrametric preserving if ultrametrics d and f degrees d define the same topology on X for each ultrametric space (X, d). The set of all strongly ultrametric preserving functions is characterized by several distinctive features. In particular, it is shown that an ultrametric preserving f belongs to this set iff f preserves the property to be compact. (c) 2024 Elsevier B.V. All rights reserved.
引用
收藏
页数：18
相关论文
共 50 条
  • [21] A Survey and New Results on Banach Algebras of Ultrametric Continuous Functions
    Chicourrat, Monique
    Diarra, Bertin
    Escassut, Alain
    P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2020, 12 (03) : 185 - 202
  • [22] A Survey and New Results on Banach Algebras of Ultrametric Continuous Functions
    Monique Chicourrat
    Bertin Diarra
    Alain Escassut
    p-Adic Numbers, Ultrametric Analysis and Applications, 2020, 12 : 185 - 202
  • [23] On strongly convex sets and strongly convex functions
    Polovinkin E.S.
    Journal of Mathematical Sciences, 2000, 100 (6) : 2633 - 2681
  • [24] Growth of analytic functions in an ultrametric open disk and branched values
    Boussaf, Kamal
    Escassut, Alain
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2021, 28 (02) : 179 - 194
  • [25] On Approximately p-Wright Affine Functions in Ultrametric Spaces
    Bahyrycz, Anna
    Brzdek, Janusz
    Piszczek, Magdalena
    JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
  • [26] On strongly α-preinvex functions
    Fan, Liya
    Guo, Yunlian
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 330 (02) : 1412 - 1425
  • [27] Strongly subadditive functions
    K. Audenaert
    F. Hiai
    D. Petz
    Acta Mathematica Hungarica, 2010, 128 : 386 - 394
  • [28] On Strongly Precontinuous Functions
    Zorlutuna, I.
    Noiri, T.
    Kuecuek, M.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2008, 31 (02) : 185 - 192
  • [29] Strongly precontinuous functions
    Yusuf Beceren
    Takashi Noiri
    Acta Mathematica Hungarica, 2005, 108 : 47 - 53
  • [30] Strongly θ-Precontinuous Functions
    T. Noiri
    Acta Mathematica Hungarica, 2001, 90 : 307 - 316
12345