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

页数：18

共 50 条

[1] ON ULTRAMETRIC-PRESERVING FUNCTIONS
Dovgoshey, Oleksiy
MATHEMATICA SLOVACA, 2020, 70 (01) : 173 - 182
[2] Ultrametric Preserving Functions and Weak Similarities of Ultrametric Spaces
Bilet, Viktoriia
Dovgoshey, Oleksiy
Shanin, Ruslan
P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2021, 13 (03) : 186 - 203
[3] Ultrametric-preserving functions as monoid endomorphisms
Oleksiy Dovgoshey
Journal of Mathematical Sciences, 2024, 285 (5) : 666 - 680
[4] Disjointness preserving Fredholm operators in ultrametric spaces of continuous functions
Araujo, Jesus
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2007, 14 (05) : 799 - 810
[5] ANALYTICAL FUNCTIONS ON ULTRAMETRIC BODY
ROBBA, P
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1972, 274 (09): : 721 - &
[6] Uniqueness for ultrametric analytic functions
Ojeda, Jacqueline
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2011, 54 (02): : 153 - 165
[7] ULTRAMETRIC THETA FUNCTIONS AND ABELIAN VARIETIES
TAPIARECILLAS, H
NAGOYA MATHEMATICAL JOURNAL, 1978, 69 (FEB) : 65 - 96
[8] Ultrafilters and ultrametric Banach algebras of Lipschitz functions
Monique Chicourrat
Alain Escassut
Advances in Operator Theory, 2020, 5 : 115 - 142
[9] On the Julia and Fatou sets of ultrametric entire functions
Bézivin, JP
ANNALES DE L INSTITUT FOURIER, 2001, 51 (06) : 1635 - +
[10] Ultrafilters and ultrametric Banach algebras of Lipschitz functions
Chicourrat, Monique
Escassut, Alain
ADVANCES IN OPERATOR THEORY, 2020, 5 (01) : 115 - 142

← 1 2 3 4 5 →