SOME GENERALIZATIONS OF DISTALITY

被引：3

作者：

Aponte, Jesus ^{[1
]}

Carrasco-Olivera, Dante ^{[2
]}

Lee, Keonhee ^{[3
]}

Morales, Carlos ^{[4
]}

机构：

[1] ESPOL Polytech Univ, Escuela Super Politecn Litoral, Fac Ciencias Nat & Matemat, Campus Gustavo Galindo,Km 30-5 Via Perimetral, Guayaquil, Ecuador

[2] Univ Bio Bio, Dept Matemat, Grp Invest Sistemas Dinam & Aplicac GISDA, Av Collao 1202,Casilla 5-C, Concepcion, Chile

[3] Chungnam Natl Univ, Dept Math, Daejeon 305764, South Korea

[4] Univ Fed Rio de Janeiro, Inst Matemat, POB 68530, BR-21945970 Rio De Janeiro, Brazil

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2020年 / 55卷 / 02期

关键词：

Distal homeomorphisms; CW-distal homeomorphisms; CW-distal measures; distal flows; proximal cell;

D O I：

10.12775/TMNA.2019.100

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We incorporate the notion of a distal system into the continuum theory [14] through the notion of the continuum-wise distal homeomorphism. Results concerning distal homeomorphisms will be generalized to the case of cw-distal homeomorphisms. Notions of cw-distality for measures will be studied. We also analyze the variation of distality for flows obtained by making the proximal cell [1] to depend on a given subset of the full set of reparametrizations. Some properties of these reparametrized distality will be obtained.

引用

页码：533 / 552

页数：20

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