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Ultra smooth continua are smooth

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Abstract

In this paper we to define and study a class of metric continua called ultra smooth, which (by the definition) form a subclass of the class of continua being hereditarily unicoherent at some point. The major result is that every ultra smooth continuum is smooth.

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Authors and Affiliations

  1. Mathematical Institute, University of Wrocław, pl Grunwaldzki 2/4, 50-384, Wrocław, Poland

    Janusz J. Charatonik

  2. Instituto de Matemáticas, UNAM Circuito Exterior, Ciudad Universitaria, 04510, México, D. F., México

    Janusz J. Charatonik

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  1. Janusz J. Charatonik
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Correspondence to Janusz J. Charatonik.

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Charatonik, J.J. Ultra smooth continua are smooth. Rend. Circ. Mat. Palermo 48, 401–418 (1999). https://doi.org/10.1007/BF02844332

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  • DOI: https://doi.org/10.1007/BF02844332

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