Simply connected homogeneous continua are not separated by arcs

Myrto Kallipoliti; Panos Papasoglu

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Simply connected homogeneous continua are not separated by arcs

机译：简单连接的均匀连续体不会被弧分开

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摘要

We show that locally connected,simply connected homogeneous continua are not separated by arcs. We ask several questio about homogeneous continua which are inspired by analogous questions in geometric group theory.

机译：我们表明，局部连接，简单连接的齐次连续体没有被弧分开。我们问一些关于均匀连续性的问题，这些问题是由几何群论中的类似问题所启发的。

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来源
《Topology and its applications》 |2007年第17期|3039-3047|共9页
作者
Myrto Kallipoliti; Panos Papasoglu;
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作者单位

Mathematics Department, University of Athens, Athens 157 84, Greece;

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原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
continuum; homogeneous; group; alexander's lemma;

机译：连续体同质;组;亚历山大引理;

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1. Homogeneous continua that are not separated by arcs [J] . van Mill J., Valov V. Acta mathematica Hungarica . 2019,第2期

机译：均匀的连续体不会被弧形分开
2. Incomputability of Simply Connected Planar Continua [J] . Takayuki Kihara Computability: the journal of the Association Ci . 2012,第2期

机译：简单连通平面连续体的不可计算性
3. Pseudo-path connected homogeneous continua [J] . Prajs Janusz R. Advances in Mathematics . 2015,第Null期

机译：伪路径连接齐次连续
4. T-Ω formulation with higher order hierarchical basis functions for non simply connected conductors [C] . Ahmed Khebir, Paweł Dłotko, Bernard Kapidani, 17th Biennial IEEE Conference on Electromagnetic Field Computation . 2016

机译：非简单连接导体的T-Ω公式具有高阶层次基础函数
5. The Vanishing of the First Chern Class for Simply Connected Complex Surfaces Is a Quasiconformal Invariant [D] . Pugh, Harrison 2018

机译：简单连接的复杂曲面的第一类Chern消失是准保形不变性
6. Bidirectional iterative parcellation of diffusion weighted imaging data: Separating cortical regions connected by the arcuate fasciculus and extreme capsule [O] . Dianne K. Patterson, Cyma Van Petten, Pélagie M. Beeson, -1

机译：扩散加权成像数据的双向迭代分割：分离由弓形束和极端囊连接的皮质区域
7. SIMPLY CONNECTED HOMOGENEOUS CONTINUA ARE NOT SEPARATED BY ARCS [O] . Myrto Kallipoliti, Panos Papasoglu 2015

机译：aRCs未分离简单连接的均匀连续性

Simply connected homogeneous continua are not separated by arcs

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