DECOMPOSITIONS OF CYCLIC ELEMENTS OF LOCALLY CONNECTED CONTINUA

被引：0

作者：

Daniel, D. ^{[1
]}

机构：

[1] Lamar Univ, Dept Math, Beaumont, TX 77710 USA

来源：

COLLOQUIUM MATHEMATICUM | 2010年 / 119卷 / 02期

关键词：

cut point; cyclic element; G(delta) and F(sigma); decomposition; images of arcs; locally connected continuum; HAHN-MAZURKIEWICZ THEOREM; ORDERED COMPACTA; IMAGES; SPACES; ARCS;

D O I：

10.4064/cm119-2-10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X denote a locally connected continuum such that cyclic elements have metrizable G(delta) boundary in X. We study the cyclic elements of X by demonstrating that each such continuum gives rise to an upper semicontinuous decomposition G of X into continua such that X/G is the continuous image of an arc and the cyclic elements of X correspond to the cyclic elements of X/G that are Peano continua.

引用

页码：321 / 330

页数：10

共 15 条

[1]

[Anonymous], TOPOLOGY

[2] IMAGE OF A HAUSDORFF ARC IS CYCLICALLY EXTENSIBLE AND REDUCIBLE [J].