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Some topological properties of the set of filter cluster functions

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dc.creator PEHLİVAN, Serpil
dc.creator ALBAYRAK, Hüseyin
dc.creator MOHAPATRA, Ram N.
dc.date 2016-06-30T21:00:00Z
dc.date.accessioned 2020-10-06T12:02:47Z
dc.date.available 2020-10-06T12:02:47Z
dc.identifier f7cc152f-f416-4765-b4ec-509686eb78c2
dc.identifier https://avesis.sdu.edu.tr/publication/details/f7cc152f-f416-4765-b4ec-509686eb78c2/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/76538
dc.description In Albayrak & Pehlivan (2013), we generalized the concepts of pointwise convergence, uniform convergence and alpha-convergence for sequences of functions on metric spaces by using the filters on N. In this work, we define the concepts of limit function, F-limit function and F-cluster function respectively for each of these three types of convergence, where F is a filter on N. We investigate some topological properties of the sets of F-pointwise cluster functions, F-alpha-cluster functions and F-uniform cluster functions by using pointwise and uniform convergence topologies.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title Some topological properties of the set of filter cluster functions
dc.type info:eu-repo/semantics/article


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