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math.GN2025
Exhibition of piecewise syndetic and broken IP sets near idempotent
Ujjal Kumar Hom, Manoranjan Singha
Characterizations of ultrafilters belong to the smallest ideal of Stone-Čech compactification of a discrete semigroup are exhibited using syndetic sets, strongly central sets and v…
math.GN2022
Statistical Compactness
Manoranjan Singha, Ujjal Kumar Hom
Organising the relevant literature and by letting statistical convergence play the main role in the theory of compactness, a variant of compactness called statistical compactness h…
math.GN2021
Influence of different kind of thin sets in the theory of convergence
Manoranjan Singha, Ujjal Kumar Hom
A class of subsets designated as very thin subsets of natural numbers has been studied and seen that theory of convergence may be rediscovered if very thin sets are given to play m…