Original scientific paper
Non-metric continua and multi-valued mappings
Ivan Lončar
Abstract
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.
Keywords
arcwise connected; arboroid; dendrite; hyperspace; inverse system
Hrčak ID:
12597
URI
Publication date:
31.5.2007.
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