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arXiv · 2307.06058

Some theorems on decomposable continua

Hayato Imamura·Eiichi Matsuhashi·Yoshiyuki Oshima
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Abstract

We prove some theorems on decomposable continua. In particular, we prove; (i) the property of being a Wilder continuum is not a Whitney reversible property, (ii) inverse limits of D**-continua with surjective monotone upper semi-continuous bonding functions are D**, and (iii) there exists a D**-continuum which contains neither Wilder continua nor D*-continua. Also, we show the existence of a Wilder continuum containing no D*-continua and a D*-continuum containing no Wilder continua.

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Hayato Imamura, Eiichi Matsuhashi, Yoshiyuki Oshima. 2023-07-12. Some theorems on decomposable continua. https://arxiv.org/abs/2307.06058

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