Almost cl-supercontinuous functions

msra(2009)

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摘要
Reilly and Vamanamurthy introduced the class of 'clopen maps' (� 'cl-supercontinuous functions'). Subsequently gen- eralizing clopen maps, Ekici defined and studied almost clopen maps (� almost cl-supercontinuous functions). Continuing in the spirit of Ekici, here basic properties of almost clopen maps are studied. Behav- ior of separation axioms under almost clopen maps is elaborated. The interrelations between direct and inverse transfer of topological prop- erties under almost clopen maps are investigated. The results obtained in the process generalize, improve and strengthen several known results in literature including those of Ekici, Singh, and others.
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关键词
hyperconnected space.,almost clopen map,almost zero dimen- sional space,almost cl-supercontinuous function,clopen almost closed graphs,almost z-supercontinuous function
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