Soumajit Dey

activity

20242026

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math.GN2026

A topological view of algebraic structures in $C_{p} (X)$

Pratip Nandi, Soumajit Dey, Amrita Dey +1

This manuscript focuses on the topological behaviour of algebraic structures in $C_{p} (X)$ . Closure of ideals in $C_{p} (X)$ is determined and are used to characterise various topologic…

math.GN2026

A special kind of topology on $C (X)$ lying between the point-open topology and the topology of uniform convergence

Soumajit Dey, Sudip Kumar Acharyya, and Dhananjoy Mandal

Let $X$ be a topological space. For each transfinite cardinal number $ℵ_{α}$ , we define a topology $C_{ℵ_{α}} (X)$ on the ring $C (X)$ . With $ℵ_{α} = ℵ_{0}$ , $C_{\aleph_α}(…

A topological view of algebraic structures in Cp​(X)

A special kind of topology on C(X) lying between the point-open topology and the topology of uniform convergence

A topological view of algebraic structures in $C_{p} (X)$

A special kind of topology on $C (X)$ lying between the point-open topology and the topology of uniform convergence