k-semistratifiable spaces and expansions of set-valued mappings
Keywords:locally bounded set-valued mappings, k-MCM spaces, k-semistratifiable spaces, lower semi-continuous (l.s.c.), k-upper semi-continuous (k-u.s.c.)
In this paper, the concept of k-upper semi-continuous set-valued mappings is introduced. Using this concept, we give characterizations of k-semistratifiable and k-MCM spaces, which answers a question posed by Xie and Yan.
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