Upper semi-continuous continuum-valued mappings onto circle like continua
نویسندگان
چکیده
منابع مشابه
Non-metric continua and multi-valued mappings
A continuum is an arboroid if it is hereditarily unicoherent and arcwise connected. A metric arboroid is a dendroid. A generalized dendrite is a locally connected arboroid. Among other things, we shall prove that a locally connected continuum X is a generalized dendrite if and only if X has the fixed point property for continuous, closed set-valued mappings.
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From a theorem of Van Nall it is known that inverse limits with sequences of upper semi-continuous set-valued functions with 0-dimensional values have dimension bounded by the dimensions of the factor spaces. Information is also available about the dimension of inverse limits with sequences of upper semi-continuous continuum-valued bonding functions having graphs that are mappings on the factor...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1967
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-60-3-233-239