145 citations · 184 across the 6 of their papers we have counts for
Showing math.CTShow all
3 papers · 1 filter
math.CT2005
Quantales as geometric objects: symmetry beyond groupoids?
Pedro Resende
This is a short survey paper, partly meant as a research announcement. Its purpose is to highlight some aspects of the interplay between quantales, inverse semigroups, and groupoid…
math.CT2004★ 145 cited
Etale groupoids and their quantales
Pedro Resende
We establish a close and previously unknown relation between quantales and groupoids, in terms of which the notion of etale groupoid is subsumed in a natural way by that of quantal…
math.CT2003★ 1 cited
A noncommutative theory of Penrose tilings
Christopher J. Mulvey, Pedro Resende
Considering quantales as generalised noncommutative spaces, we address as an example a quantale Pen based on the Penrose tilings of the plane. We study in general the representatio…