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 ...
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...
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