Some decomposable continua and Whitney levels of their hyperspaces

Some decomposable continua and Whitney levels of their hyperspaces

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 properly contains the class of D⁎⁎-continua. Using D⁎⁎-continua, we give the negative answer to [2, Question 2]. Fur...

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Veröffentlicht in:Topology and its applications 2023-03, Vol.326, p.108395, Article 108395
Hauptverfasser: Matsuhashi, Eiichi, Oshima, Yoshiyuki
Format: Artikel
Sprache:eng
Schlagworte:
[formula omitted]-continuum
D-continuum
Decomposable continuum
Whitney map
Whitney property
Wilder continuum
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Zusammenfassung: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 properly contains the class of D⁎⁎-continua. Using D⁎⁎-continua, we give the negative answer to [2, Question 2]. Furthermore, we prove that being a Wilder continuum, being a D-continuum, being a D⁎-continuum and being a D⁎⁎-continuum are Whitney properties.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2022.108395