Connectedness and strong semicontinuity
Recently Popa and Noiri [10] established some new characterizations and basic properties of -continuous multifunctions. In this paper, we improve some of their results and examine further properties of -continuous and -irresolute multifunctions. We also make corrections to some theorems of Neubrunn [7].
A simple machinery is developed for the preservation of Baire spaces under preimages. Subsequently, some properties of maps which preserve nowhere dense sets are given.
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