J. Bruno

activity

20102023

most citedMetric axioms: a structural study

5 citations · 10 across the 15 of their papers we have counts for

collaborators

Showing math.GNShow all

4 papers · 1 filter

math.GN2016

Complete Regularity: Kopperman's duality {\it à la quantale}

J. Bruno

Nearly three decades from his celebrated result, we study a modern refinement and strengthening of Kopperman's full metrisabilty of all topological spaces. Within this new theory o…

math.GN2013★ 5 cited

Metric axioms: a structural study

Jorge Bruno, Ittay Weiss

For a fixed set $X$ , an arbitrary \textit{weight structure} $d \in [0, \infty]^{X \times X}$ can be interpreted as a distance assignment between pairs of points on $X$ . Restrictions…

math.GN2012

$T o p (X)$ within $\px$ ]{When lattices meet topology: $T o p (X)$ within $\px$.}

Jorge L. Bruno, Aisling E. McCluskey

For a non-empty set $X$ , the collection $T o p (X)$ of all topologies on $X$ sits inside the Boolean lattice $\PP(\PP(X))$ (when ordered by set-theoretic inclusion) which in turn can…

math.GN2011

Topologies on $X$ as points in $2^{P (X)}$

Jorge L. Bruno, Aisling E. McCluskey

A topology on a nonempty set $X$ specifies a natural subset of $P (X)$ . By identifying $P (P (X))$ with the totally disconnected compact Hausdorff space…

Complete Regularity: Kopperman's duality {\it à la quantale}

Metric axioms: a structural study

Top(X) within $\px$ ]{When lattices meet topology: Top(X) within $\px$.}

Topologies on X as points in 2P(X)

$T o p (X)$ within $\px$ ]{When lattices meet topology: $T o p (X)$ within $\px$.}

Topologies on $X$ as points in $2^{P (X)}$