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20132025
most citedMachine Learning on the COVID-19 Pandemic, Human Mobility and Air Quality: A Review

95 citations

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7 papers · 1 filter

math.GN2025★ 1 cited

On connected subsets of a convergence space

Bryan Castro Herrejón, Frédéric Mynard

Though a convergence space is connected if and only if its topological modification is connected, connected subsets differ for the convergence and for its topological modification.…

math.GN2022★ 2 cited

On points of convergence lattices and sobriety for convergence spaces

F. Mynard

We characterize the convergence spaces such that the space of points of in the category of convergence lattices is . On the way, we study vari…

math.GN2021

When is a category of adherence-determined convergences simple?

Frédéric Mynard, Jerzy Wojciechowski

Abstract. We provide a characterization of classes of filters for which the full subcategory of formed…

math.GN2018★ 2 cited

On (ultra-) completeness numbers and (pseudo-) paving numbers

Frédéric Mynard

We study the completeness and ultracompleteness numbers of a convergence space. In the case of a completely regular topological space, the completeness number is countable if and o…

math.GN2018

Convergence without points

Jean Goubault-Larrecq, Frédéric Mynard

We introduce a pointfree theory of convergence on lattices and coframes. A convergence lattice is a lattice with a monotonic map from the lattice of filters on to…

math.GN2017

The convergence-theoretic approach to g-first countable and symmetrizable spaces

Fadoua Chigr, Frédéric Mynard

This article fits in the context of the approach to topological problems in terms of the underlying convergence space structures, and serves as yet another illustration of the powe…

math.GN2014

Measure of compactness for filters in product spaces: Kuratowski-Mròwka in CAP revisited

Frédéric Mynard, William Trott

The first author introduced a measure of compactness for families of sets, relative to a class of filters, in the context of convergence approach spaces. We characterize a variety…