Some theorems on decomposable continua
General Topology
2023-07-13 v1
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.
Cite
@article{arxiv.2307.06058,
title = {Some theorems on decomposable continua},
author = {Hayato Imamura and Eiichi Matsuhashi and Yoshiyuki Oshima},
journal= {arXiv preprint arXiv:2307.06058},
year = {2023}
}
Comments
15 pages, 8 figures