Search results for "topology"

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On continua whose hyperspace of subcontinua is σ-locally connected

1999

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.

σ-local connectednessConnected spacePure mathematicsContinuum (topology)Mathematical analysisCharacterization (mathematics)Hyperspace of subcontinuaσ-relative local connectednessHyperspaceLocal connectednessPeano axiomsContinuumCountable setGeometry and TopologyLocal connectednessRelative local connectednessMathematicsTopology and its Applications
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Топологические пространства и их отображения

1983

Сборник содержит результаты исследований в области функционального анализа, теории функций и топологии.

ТопологияFunkcionālanalīzeТеория функцийTopoloģijaTopoloģiskās telpas:MATHEMATICS::Algebra geometry and mathematical analysis [Research Subject Categories]Топологические пространстваTopologyФункциональный анализ
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