Pseudo Perfectly Continuous Functions and Closedness/Compactness of Their Function Spaces
APPLIED GENERAL TOPOLOGY(2013)
摘要
A new class of functions called 'pseudo perfectly continuous' functions is introduced. Their place in the hierarchy of variants of continuity which already exist in the literature is highlighted. The interplay between topological properties and pseudo perfect continuity is investigated. Function spaces of pseudo perfectly continuous functions are considered and sufficient conditions for their closedness and compactness in the topology of pointwise convergence are formulated.
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关键词
(quasi) perfectly continuous function,D-delta-supercontinuous function,d(delta)-map,slightly continuous function,pseudo-partition topology,D delta T0-space,delta-completely regular space,A lexandrotT space ( saturated space)
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