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On thin continua

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Abstract We introduce the notion of thin continua: a continuum is thin if every nondegenerate subcontinuum has nonempty interior. We prove that such continua are locally connected and we investigate… Click to show full abstract

Abstract We introduce the notion of thin continua: a continuum is thin if every nondegenerate subcontinuum has nonempty interior. We prove that such continua are locally connected and we investigate their mapping properties. We also investigate universal thin dendrites of a given order.

Keywords: topology; thin continua; continua

Journal Title: Topology and its Applications
Year Published: 2020

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