On Generalized Quasi-uniformity and Generalized Quasi-uniformizable supratopological spaces

@article{Ray2015OnGQ,
  title={On Generalized Quasi-uniformity and Generalized Quasi-uniformizable supratopological spaces},
  author={Atasi Deb Ray and Rakesh Bhowmick},
  journal={Journal of Advanced Studies in Topology},
  year={2015},
  volume={6},
  pages={74-81}
}
In this paper, introducing generalized quasi uniformity (in short, \(g\)-quasi uniformity) and \(g\)-quasi uniformly continuous maps, it has been shown that every supratopology is achievable from a \(g\)-quasi uniformity; moreover, a \(g\)-continuous map between a pair of supratopological spaces is indeed the induced map obtained from the \(g\)-quasi uniformly continuous map between the corresponding \(g\)-quasi uniform spaces. These results establish a functorial correspondence between the… 
Product of generalized quasi-uniform spaces
In this paper, we introduce product \(g\)-quasi uniformity and show that product \(g\)-quasi uniformity induces the generalized product topology. We also provide a necessary and sucient condition for
Generalized quasi-uniformity in terms of covers
Recently g-quasi uniformity has been introduced, and in the literature there al- ready is the notion of strong quasi-uniform cover for quasi-uniform spaces. Here in this paper we generalize the
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