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The orientability of matchbox manifolds.
A separable and metrizable space X is a matchbox manifold if each point x of X has an open neighborhood which is homeomorphic to 4 x 1 for some zero-dimensional space Sx . Each arc component of aExpand
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On the Plane Fixed Point Problem
On the Plane Fixed Point Problem Gregory Chambers Master of Science Graduate Department of Mathematics University of Toronto 2010 Several conjectured and proven generalizations of the Brouwer FixedExpand
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An update on the elusive fixed-point property
Publisher Summary This chapter provides an overview of the elusive fixed-point property. R.H. Bing's expository article “The elusive fixed point property,” which appeared in the American MathematicalExpand
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The fixed-point property for deformations of tree-like continua
Let f be a map of a tree-like continuum M that sends each arc-component of M into itself. We prove that f has a fixed point. Hence every tree-like continuum has the fixed-point property forExpand
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INDECOMPOSABLE HOMOGENEOUS PLANE CONTINUA ARE HEREDITARILY INDECOMPOSABLE
F. Burton Jones [7] proved that every decomposable homogeneous plane continuum is either a simple closed curve or a circle of homogeneous nonseparating plane continua. Recently the author [5] showedExpand
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Characterizations of λ connected plane continua
A continuum M is said to be λ connected if any two of its points can be joined by a hereditarily decomposable continuum in M. Here we characterize λ connected plane continua in terms of Jones'Expand
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Irreducible continua without the fixed-point property
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A fixed point theorem for hyperspaces of connected continua
Suppose that the hyperspace of compact connected subsets C(X) of a X connected continuum X can be 6-mapped (for each t > 0) into the plane. We prove that X is either arc-like or circle-like. ItExpand
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COMMON FIXED POINTS FOR TWO COMMUTING SURFACE HOMEOMORPHISMS
Let f and g be orientation-preserving surface homeomorphisms that commute under composition. Conditions are found ensuring that the fixed point set of f contains a fixed or periodic point for g.Expand
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