MONOTONE MAPPINGS OF UNIVERSAL DENDRITES

被引：26
|
作者：
CHARATONIK, JJ [1 ]
机构：
[1] UNIV WROCLAW, INST MATH, PL-50384 WROCLAW, POLAND
来源：
TOPOLOGY AND ITS APPLICATIONS | 1991年 / 38卷 / 02期
关键词：
DENDRITE; HOMEOMORPHISM; HOMOGENEOUS; MONOTONE; NEAR HOMEOMORPHISM; ORDER; UNIVERSAL;
D O I：
10.1016/0166-8641(91)90083-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For each m membership sign {3, 4,..., omega} mappings of the standard universal dendrite D(m) of order m onto itself are studied which belong to the following classes: homeomorphisms, near homeomorphisms and monotone mappings. In particular, it is shown that each such dendrite D(m) is homogenous with respect to monotone mappings. The obtained results extend ones due to H. Kato.
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页码：163 / 187
页数：25
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