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October 1, 2025Open Access

Modular topologies on vector spaces

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Modular topologies are analyzed, revealing significant interactions with traditional topological concepts.
Key properties explored include separation axioms and the nuances of modular convergence related to continuity.
The study focuses on variable exponent function spaces that deal with unbounded conditions in the $p(x)$-Laplacian context.
Special attention is given to how the $ riangle_2$ condition influences the openness of modular balls and duality.

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This research investigates modular topologies and their implications for boundary value problems in variable exponent spaces.

Khamsi et al. (2025) studied this question.

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