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Non-metric continua and multi-valued mappings

Ivan Lončar

Puni tekst: engleski pdf 152 Kb

str. 101-111

preuzimanja: 577



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.

Ključne riječi

arcwise connected; arboroid; dendrite; hyperspace; inverse system

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