Decompositions of cyclic elements of locally connected continua
D. Daniel
Colloquium Mathematicae, Tome 120 (2010), p. 321-330 / Harvested from The Polish Digital Mathematics Library
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Let X denote a locally connected continuum such that cyclic elements have metrizable Gδ 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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:284062 
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D. Daniel. Decompositions of cyclic elements of locally connected continua. Colloquium Mathematicae, Tome 120 (2010) pp. 321-330. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm119-2-10/