A. Ray

activity

20182023

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4 papers · 1 filter

math.GN2023

On a Generalization of Quasi-metric Space

Sugata Adhya, A. Deb Ray

We find an extension of the quasi-metric (to be called $g$ -quasi metric) such that the induced generalized topology may fail to form a topology. We show that $g$ -quasi metrizabilit…

math.GM2023

Some familiar graphs on the rings of measurable functions

Pratip Nandi, Atasi Deb Ray, Sudip Kumar Acharyya

In this paper, replacing `equality' by 'equality almost everywhere' we modify several terms associated with the ring of measurable functions defined on a measure space $(X, \mathca…

math.GN2023

More on generalizations of topology of uniform convergence and $m$ -topology on $C (X)$

Pratip Nandi, Rakesh Bharati, Atasi Deb Ray +1

This paper conglomerates our findings on the space $C (X)$ of all real valued continuous functions, under different generalizations of the topology of uniform convergence and the $m…

math.GN2023

$U$ -topology and $m$ -topology on the ring of Measurable Functions, generalized and revisited

Pratip Nandi, Atasi Deb Ray, Sudip Kumar Acharyya

Let $M (X, A)$ be the ring of all real valued measurable functions defined over the measurable space $(X, A)$ . Given an ideal $I$ in $\mathcal{M}(X,\math…

On a Generalization of Quasi-metric Space

Some familiar graphs on the rings of measurable functions

More on generalizations of topology of uniform convergence and m-topology on C(X)

U-topology and m-topology on the ring of Measurable Functions, generalized and revisited

More on generalizations of topology of uniform convergence and $m$ -topology on $C (X)$

$U$ -topology and $m$ -topology on the ring of Measurable Functions, generalized and revisited