Dimension in topological structures: Topological closure and local property

被引：2

作者：

Fornasiero, Antongiulio ^{[1
]}

Halupczok, Immanuel ^{[1
]}

机构：

[1] Inst Math Log, D-48149 Munster, Germany

来源：

GROUPS AND MODEL THEORY | 2012年 / 576卷

关键词：

Topological structure; dimension;

D O I：

10.1090/conm/576/11335

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a first-order structure with a dimension function, satisfying some natural conditions. Let A be a definable set. If every point in A has a definable neighborhood in A with dimension less than p, then A has dimension less than p.

引用

页码：89 / 94

页数：6

共 9 条

[1] Fields with analytic structure [J].

Cluckers, R. ;

Lipshitz, L. .

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2011, 13 (04) :1147-1223

[2] b-Minimality [J].

Cluckers, Raf ;

Loeser, Francois .

JOURNAL OF MATHEMATICAL LOGIC, 2007, 7 (02) :195-227

[3] Dimensions, matroids, and dense pairs of first-order structures [J].

Fornasiero, Antongiulio .

ANNALS OF PURE AND APPLIED LOGIC, 2011, 162 (07) :514-543

[4]

Fornasiero Antongiulio, 2010, LOCALLY O MINI UNPUB

[5]

Fornasiero Antongiulio, 2010, D MINIMAL STRU UNPUB

[6]

Fornasiero Antongiulio, 2011, EXPANSIONS REA UNPUB

[7] 1ST ORDER TOPOLOGICAL STRUCTURES AND THEORIES [J].

PILLAY, A .

JOURNAL OF SYMBOLIC LOGIC, 1987, 52 (03) :763-778

[8] DIMENSION OF DEFINABLE SETS, ALGEBRAIC BOUNDEDNESS AND HENSELIAN FIELDS [J].

VANDENDRIES, L .

ANNALS OF PURE AND APPLIED LOGIC, 1989, 45 (02) :189-209

[9]

Yin Yimu, 2010, FREIMANS CONJECTURE

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