4 citations · 4 across the 6 of their papers we have counts for
8 papers
Whitney Properties and Whitney reversible properties of Cut and Non-Cut Points
Eiichi Matsuhashi
In this paper, we study several properties concerning cut points and non-cut points. First, we show that the property of being a continuum consisting entirely of shore points is pr…
A non-D-continuum with weakly infinite-dimensional closed set-aposyndetic Whitney levels
Eiichi Matsuhashi
In this paper, we introduce the new class of continua; weakly infinite-dimensional closed set-aposyndetic continua. With this notion, we show that there exists a non-D-continuum su…
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…
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…
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…
Parametric set-wise injective maps
Eiichi Matsuhashi, Vesko Valov
We introduce the notion of set-wise injective maps and provide results about fiber embeddings. Our results improve some previous results in this area.