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Interrelations between some noncontractibility conditions

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Abstract

Relations are investigated between some sufficient conditions for noncontractibility of dendroids and of fans. A special attention is paid to pairwise smoothness and the existence ofR i-continua fori=1, and 3.

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Authors and Affiliations

  1. Mathematical Institute, University of Wroclaw, Plac Grunwaldzki 2/4, 50-384, Wroclaw, Poland

    J. J. Charatonik & K. Omiljanowski

  2. Department of Mathematics, Kim Hyong Jik University, Pyongyang, D.P.R. of Korea

    T. J. Lee

Authors
  1. J. J. Charatonik
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  2. T. J. Lee
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  3. K. Omiljanowski
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Additional information

1991 Mathematics Subject Classification. 54F15, 54F50.

Key words and phrases. Component, continuum, contractible, dendroid, domination of sequences, fan, pairwise smooth,R i-continuum,T-function.

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Charatonik, J.J., Lee, T.J. & Omiljanowski, K. Interrelations between some noncontractibility conditions. Rend. Circ. Mat. Palermo 41, 31–54 (1992). https://doi.org/10.1007/BF02844461

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  • DOI: https://doi.org/10.1007/BF02844461

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