Ramsey property, ultrametric spaces, finite posets, and universal minimal flows

被引：10

作者：

Sokic, Miodrag ^{[1
]}

机构：

[1] CALTECH, Dept Math, Pasadena, CA 91125 USA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2013年 / 194卷 / 02期

关键词：

Topological Group; Linear Ordering; Linear Extension; Ultrametric Space; Amalgamation Property;

D O I：

10.1007/s11856-012-0101-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the class COU (S) of finite ultrametric spaces with distances in the set S and with two additional linear orderings. We also introduce the class EOP of finite posets with two additional linear orderings. In this paper, we prove that COU (S) and EOP are Ramsey classes. In addition, we give an application of our results to calculus of universal minimal flows.

引用

页码：609 / 640

页数：32

共 50 条

[1] Ramsey property, ultrametric spaces, finite posets, and universal minimal flows
Miodrag Sokić
Israel Journal of Mathematics, 2013, 194 : 609 - 640
[2] Ramsey degrees of finite ultrametric spaces, ultrametric Urysohn spaces and dynamics of their isometry groups
The, Lionel Nguyen Van
EUROPEAN JOURNAL OF COMBINATORICS, 2009, 30 (04) : 934 - 945
[3] FINITE ULTRAMETRIC SPACES
FEINBERG, VZ
DOKLADY AKADEMII NAUK SSSR, 1972, 202 (04): : 775 - &
[4] Ramsey Properties of Finite Posets II
Miodrag Sokić
Order, 2012, 29 : 31 - 47
[5] Ramsey Properties of Finite Posets II
Sokic, Miodrag
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2012, 29 (01): : 31 - 47
[6] Constructions of Urysohn Universal Ultrametric Spaces
Ishiki, Yoshito
P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2023, 15 (04) : 266 - 283
[7] Big Ramsey degrees and divisibility in classes of ultrametric spaces
Van The, L. Nguyen
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2008, 51 (03): : 413 - 423
[8] Constructions of Urysohn Universal Ultrametric Spaces
Yoshito Ishiki
p-Adic Numbers, Ultrametric Analysis and Applications, 2023, 15 : 266 - 283
[9] UNIVERSAL CORRELATIONS IN FINITE POSETS
BRIGHTWELL, GR
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 1985, 2 (02): : 129 - 144
[10] Normalized matching property of subspace posets in finite classical polar spaces
Guo, Jun
Wang, Kaishun
Li, Fenggao
FINITE FIELDS AND THEIR APPLICATIONS, 2013, 19 (01) : 67 - 72

← 1 2 3 4 5 →