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ABSTRACT. A separable metric space X is called a matchbox manifold if each point x of X has an open neighborhood which is homeomorphic to the product Sx X R for some zero-dimensional space Sx.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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local separating points, essential span, indecomposable continua, matchbox manifolds, knaster continua, indecomposable continuum, prime end rotation number, dense orientation, surjective span, heteroclinic pair, internal composants, snakelike continua, proper subcontinuum, inverse limit space, arcwise connected continuum, confluent mappings, cellularity criterion, chainable continuum, interval itinerary, backward itinerary, proper subcontinua, nondegenerate subcontinuum, simple triod, indecomposable subcontinuum, connected plane continua
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Department of Mathematics, Mathematics Subject Classification, New York, Duke Math, Topology Proc, Topology Appl, Thelma West, Marcel Dekker, Kennedy Phelps, Marcy Barge, Auburn University, Fundamenta Mathematicae, Kazuhiro Kawamura, Edwin Duda, Houston Problem Book, Institute of Mathematics, Academic Press, Algebraic Topology, Andrew Lelek, Department of Mathematical Sciences, London Math, Michigan Math, University of Houston, Cambridge University Press, Complex Variables
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