A new cardinal function on topological spaces

Dewi Kartika Sari, Dongsheng Zhao

Abstract

Using neighbourhood assignments, we introduce and study a new cardinal function, namely GCI(X), for every topological space X. We shall mainly investigate the spaces X with finite GCI(X). Some properties of this cardinal in connection with special types of mappings are also proved.


Keywords

Neighbourhood assignments; Gauge compact space; gauge compact index; M-uniformly continuous mapping

Subject classification

54A25; 54C08; 54D30

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References

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