TOPOLOGY AND ITS APPLICATIONS 230 490-505 2017年10月 [査読有り]
We study properties of the pseudocompact spaces X with a weak selection, and we dedicate a particular attention to the weak selection topologies on X. In case when X is also locally compact, we obtain a convenient decomposition of X into a finite ...
S. García-Ferreira   K. Miyazaki   T. Nogura   
Topology and its Applications 160(18) 2465-2472 2013年12月 [査読有り]
A weak selection on an infinite set X is a function σ:[X]2→X such that σ({x, y})∈{x, y} for each {x, y}∈[X]2. A weak selection on a space is said to be continuous if it is a continuous function with respect to the Vietoris topology on [X]2 and the...
Elise Grabner(Slippery Rock University   Gary Grabner(Slippery Rock University   Kazumi Miyazaki   Jamal Tartir(Youngstown   State University   
the International Journal of Pure and Applied Mathematics 49(2) 251-278 2008年 [査読有り]
relative propertyにおけるsemi-metricとrelative first countable 研究と結果
Elise Grabner(Slippery Rock University   Gary Grabner(Slippery Rock University   Kazumi Miyazaki   Jamal Tartir(Youngstown University   
Questions and Answers in General Topology 25(1) 53-55 2007年4月 [査読有り]
異なる3種類のrelative normal について、部分空間Yがどんな全空間の中においてもそれぞれのrelative normalになるときの特徴づけを示し、さらにrelative s-normalの場合には部分空間Yがcompactであるという同値条件を得た。これによりnormalの観点からのcompact 空間の利用範囲をさらに広げることができた。