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math.CT 1

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2026 1

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Quasi-pseudometric modular spaces as $\mathscr{Q}$-categories

math.CT · 2026-04-30 · unverdicted · novelty 5.0

Quasi-pseudometric modular spaces with nonexpansive maps form a category isomorphic to one enriched over a quantale of isotone functions, with matching induced topologies, and quasi-pseudometrizable spaces coincide exactly with those from quasi-pseudometric modulars.

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  • Quasi-pseudometric modular spaces as $\mathscr{Q}$-categories math.CT · 2026-04-30 · unverdicted · none · ref 25

    Quasi-pseudometric modular spaces with nonexpansive maps form a category isomorphic to one enriched over a quantale of isotone functions, with matching induced topologies, and quasi-pseudometrizable spaces coincide exactly with those from quasi-pseudometric modulars.