Some decomposable continua and Whitney levels of their hyperspaces

Eiichi Matsuhashi; Yoshiyuki Oshima

Some decomposable continua and Whitney levels of their hyperspaces

General Topology 2022-05-31 v1

Authors: Eiichi Matsuhashi , Yoshiyuki Oshima

Abstract

We introduce the new class of continua; $D^{**}$ - $continua$ . The classes of Wilder continua and $D^{*}$ -continua are strictly contained in the class of $D^{**}$ -continua. Also, the class of $D$ -continua is bigger than the class of $D^{**}$ -continua. Using $D^{**}$ -continua, we give the negative answer to a Question. Furthermore, we prove that being Wilder, being $D$ , being $D^*$ and being $D^{**}$ are Whitney properties.

Keywords

continua d**-continua wilder continua whitney properties hyperspaces decomposable continua

Cite

@article{arxiv.2205.14502,
  title  = {Some decomposable continua and Whitney levels of their hyperspaces},
  author = {Eiichi Matsuhashi and Yoshiyuki Oshima},
  journal= {arXiv preprint arXiv:2205.14502},
  year   = {2022}
}

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8 pages, 1 figure

Some decomposable continua and Whitney levels of their hyperspaces

Abstract

Keywords

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