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
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
收藏
页码:533 / 552
页数:20
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