activity
20192026
most citedApplications of Bornological Covering Properties in Metric Spaces

5 citations · 14 across the 13 of their papers we have counts for

collaborators

14 papers

math.GN2026

Selection principles and the Scheepers diagram in an uncountable setting

Nur Alam, Debraj Chandra

We continue the study of selection principles in the uncountable setting initiated in [18] and further developed in [1]. We investigate several problems posed in [1] concerning the…

math.GN2025

On a variation of selective separability: S-separability

Debraj Chandra, Nur Alam, Dipika Roy

A space is M-separable (selectively separable) (Scheepers, 1999; Bella et al., 2009) if for every sequence of dense subspaces of there exists a sequence suc…

math.GN2025

On a variation of selective separability using ideals

Debraj Chandra, Nur Alam, Dipika Roy

A space is H-separable (Bella et al., 2009) if for every sequence of dense subspaces of there exists a sequence such that for each is a finite sub…

math.GN2025

Certain results on selection principles associated with bornological structure in topological spaces

Debraj Chandra, Subhankar Das, Nur Alam

We study selection principles related to bornological covers in a topological space following the work of Aurichi et al., 2019, where selection principles have been investigate…

math.GN2024

Certain observations on selection principles related to bornological covers using ideals

D. Chandra, P. Das, S. Das

We study selection principles related to bornological covers using the notion of ideals. We consider ideals and on and standard ideal orderings $KB, K…

math.GN2022★ 4 cited

Further investigations on certain star selection principles

Debraj Chandra, Nur Alam

We consider certain star versions of the Menger, Hurewicz and Rothberger properties. Few important observations concerning these properties are presented, which have not been inves…

math.GN2022

Certain observations on tightness and topological games in bornology

Debraj Chandra, Pratulananda Das, Subhankar Das

This article is a continuation of our investigations in the function space with respect to the topology of strong uniform convergence on in…

math.GN2022

On certain star- variant of a selection principle

Debraj Chandra, Nur Alam

This article deals with certain star variants of the Scheepers property. We introduce and study the star--Scheepers property and corresponding game. The relationships between th…

math.GN2022★ 1 cited

On certain weaker forms of the Scheepers property

Debraj Chandra, Nur Alam

We introduce the weaker forms of the Scheepers property, namely almost Scheepers (), weakly Scheepers in the sense of Sakai () and weakly Scheepers in the sense…

math.GN2022★ 1 cited

On certain star versions of the Scheepers property

Debraj Chandra, Nur Alam

The star versions of the Scheepers property, namely star-Scheepers, strongly star-Scheepers and new star-Scheepers property have been introduced. We explore further ramifications c…

math.GN2021★ 2 cited

On localization of the Menger property

D. Chandra, N. Alam

In this paper we introduce and study the local version of the Menger property, namely locally Menger property (or, locally Menger space). We explore some preservation like properti…

math.GN2021★ 1 cited

On certain localized version of uniform selection principles

Nur Alam, Debraj Chandra

We intend to localize the selection principles in uniform spaces (Kočinac, 2003) by introducing their local variations, namely locally -bounded spaces (where is Menger, Hure…

math.GN2020

Further observations on bornological covering properties and selection principles

Debraj Chandra, Pratulananda Das, Subhankar Das

This article is a continuation of the study of bornological open covers and related selection principles in metric spaces done in (Chandra et al. 2020) using the idea of strong uni…

math.GN2019★ 5 cited

Applications of Bornological Covering Properties in Metric Spaces

Debraj Chandra, Pratulananda Das, Shunhankar Das

Using the idea of strong uniform convergence on bornology, Caserta, Di Maio and Kočinac studied open covers and selection principles in the realm of metric spaces (associated with…