Upper And Lower Cl-Supercontinuous Multifunctions

APPLIED GENERAL TOPOLOGY（2013）

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摘要

The notion of cl-supercontinuity ( clopen continuity) of functions is extended to the realm of multifunctions. Basic properties of upper (lower) cl-supercontinuous multifunctions are studied and their place in the hierarchy of strong variants of continuity of multifunctions is discussed. Examples are included to reflect upon the distinctiveness of upper (lower) cl-supercontinuity of multifunctions from that of other strong variants of continuity of multifunctions which already exist in the literature.

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关键词

upper(lower) cl-supercontinuous multifunction, strongly continuous multifunction, upper(lower) perfectly continuous multifunction, upper(lower) z-supercontinuous multifunction, upper(lower) D-supercontinuous multifunction, upper(lower) supercontinuous multifunction, cl-open set, zero dimensional space, cl-para-Lindelof space, cl-paracompact space, nonmingled multifunction

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