0000000000512207

AUTHOR

Iwona Krzemińska

showing 2 related works from this author

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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A non-g-contractible uniformly path connected continuum

1999

Abstract An example of a uniformly path connected, plane continuum P is constructed and proved to admit no continuous surjection onto P homotopic to the constant map. This answers a question of D.P. Bellamy in the negative.

Connected spacePlane (geometry)Continuum (topology)HomotopyMathematics::General TopologyContractible spaceSurjective functionCombinatoricsContinuumUniformly path connected spaceGeometry and TopologyHomotopyg-contractibilityConstant (mathematics)MathematicsTopology and its Applications
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