Results 111 to 120 of about 3,669 (222)
Applied General TopologyGiven a continuum X and a positive integer n, let Cn(X) be the hyperspace consisting of all nonempty closed subsets of X having at most n components. For a subcontinuum A of X having empty interior, consider the following properties: A is a subcontinuum ...
Javier Camargo +2 more
doaj +1 more source
DENDRITES WITH UNIQUE HYPERSPACE
, 2007 The main purpose of this paper is to prove the following theorem: A dendrite which is not an arc has unique hyperspace of subcontinua if its set of end points is ...
David Herrera-carrasco
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On w-unicoherence, top-irreducibility and Whitney levels near the top
Applied General TopologyGiven a metric continuum X, we consider C(X) as the collection of all subcontinua of X. S. López introduced the concepts of pseudo-linearity and pseudo-circularity in order to characterize continua having a positive Whitney level that is an arc or a ...
José Gerardo Ahuatzi-Reyes +2 more
doaj +1 more source
Applied General TopologyWe consider properties of the diagonal of a continuum that are used later in the paper. We continue the study of T-closed subsets of a continuum X. We prove that for a continuum X, the statements: ΔX is a nonblock subcontinuum of X2, ΔX is a shore ...
Javier Camargo, Sergio Macías
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Fans whose hyperspace of subcontinua are cones
, 2002 It is proved that if F is a fan, then the hyperspace of subcontinua of F is homeomorphic to a cone over a continuum if and only if F is homeomorphic to a cone over a compact metric ...
Macías, Sergio, Nadler, Sam B.
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Concerning the cone = hyperspace property
, 1981 An example of a one-dimensional, nonchainable, noncircle-like continuum is constructed and shown to have the cone = hyperspace property. In addition, it is proved that a sufficient condition for a continuum X to have the cone = hyperspace property is ...
Marsh, Dorothy Sherling
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HYPERSPACE SUSPENSION AND THE FIXED POINT PROPERTY
, 2010 We present some results and examples concerning the fixed point property for hyperspace ...
FLORENCIO CORONA–VÁZQUEZ , RAÚL ESCOBEDO
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On Bairness of the Wijsman Hyperspace [PDF]
, 2007 Baireness of the Wijsman hyperspace topology is characterized for a metrizable base space with a countable-in-itself p-base; further, a separable 1st category metric spaceis constructed with a Baire Wijsman ...
Zsilinszky, Laszlo +1 more
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Hyperspace Retractions for Curves
, 1997 We study retractions from the hyperspace of all nonempty closed subsets of a given continuum onto the continuum (which is naturally embedded in the hyperspace).
Omiljanowski, Krzysztof +2 more
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On (Strong) a-Favorability of the Wijsman Hyperspace [PDF]
, 2010 The Banach–Mazur game as well as the strong Choquet game are investigated on theWijsman hyperspace from the nonempty player’s (i.e. a’s) perspective.
Zsilinszky, Laszlo +1 more
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