6533b822fe1ef96bd127cdd5

RESEARCH PRODUCT

On continua whose hyperspace of subcontinua is σ-locally connected

Janusz R. PrajsIwona Krzemińska

subject

σ-local connectednessConnected spacePure mathematicsContinuum (topology)Mathematical analysisCharacterization (mathematics)Hyperspace of subcontinuaσ-relative local connectednessHyperspaceLocal connectednessPeano axiomsContinuumCountable setGeometry and TopologyLocal connectednessRelative local connectednessMathematics

description

Abstract We provide a structural characterization of all continua X whose hyperspace C ( X ) of all subcontinua is the countable union of Peano continua. Applying this result we prove that there exists a uniformly path connected continuum X with no continuous mapping from C ( X ) onto X.

yearjournalcountryeditionlanguage
1999-09-01Topology and its Applications
https://doi.org/10.1016/s0166-8641(98)00014-5