3 papers
math.GN2023
Some theorems on decomposable continua
Hayato Imamura, Eiichi Matsuhashi, Yoshiyuki Oshima
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…
math.GN2022
Some theorems on colocally connected continua
Eiichi Matsuhashi, Yoshiyuki Oshima
We show that each refinable map preserves colocal connectedness of the domain while a proximately refinable map does not necessarily. Also, we prove that colocal connectedness is a…
math.GN2022
Some decomposable continua and Whitney levels of their hyperspaces
Eiichi Matsuhashi, Yoshiyuki Oshima
We introduce the new class of continua; -. The classes of Wilder continua and -continua are strictly contained in the class of -continua. Also, the…