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Showing 1 to 2 of 2 for “"Peano continuum"”.
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Homomorphisms into the Fundamental Group of One-Dimensional and Planar Peano Continua
Let X be a planar or one-dimensional Peano continuum. Let E be a Hawaiian Earring with fundamental group H. We show that every homomorphism from H to the fundamental group of X is conjugate to a homomorphism which is induced by a continuous function.
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The Bing sphere characterization and applications of brick partitioning
… characterization of the arc as a non-degenerate Peano space having at most two non-cut points; proceeded naturally to S<sup>1</sup>, and then to S<sup>2</sup>. Characterization of higher dimensional spheres is still incomplete.</p> <p>The characterization of the 2-sphere as a Peano space …