3 papers
math.GN2019
Comparison of countability conditions within three fundamental classifications of convergences
Frédéric Mynard
The interrelations between various classes of convergence spaces defined by countability conditions are studied. Remarkably, they all find characterizations in the usual space of u…
math.GN2018
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…