Ahmad Ja'Afari Kalvan

collaborators

2 papers

math.GN2026

Finite-Point Metrizable Coarsenings: Compatible Gauges, Simplicial Metrics, and Hausdorff Lower Bounds

Ahmad ja'afari kalvan, Ehsan Shahoseini

Let $(X, τ)$ be metrizable and let $F = {a_{1}, \dots, a_{k}} \subseteq X$ , where $2 \leq k < \infty$ . We represent all metrizable topologies $σ \subseteq τ$ agreeing with $τ$ on $X ∖ F$ …

math.GN2026

One-Point Metrizable Coarsenings: Gauges and Local Metric Preservation

Ahmad ja'afari kalvan, Ehsan Shahoseini

Let $(X, τ)$ be metrizable and let $a \in X$ . We give a constructive account of metrizable topologies $σ \subseteq τ$ that agree with $τ$ on $X ∖ {a}$ . Applying Hausdorff's cla…