Abstract zip data

TL;DR

This paper generalizes a refinement process used to compute the topological space of the stack of G-zips, enabling broader applications in calculating equivalence classes in various topological contexts.

Contribution

It extends the existing refinement method for G-zip topologies to a more general framework applicable to diverse equivalence relations.

Findings

The generalized process effectively computes topological spaces in new contexts.

The method simplifies the calculation of equivalence classes.

It broadens the applicability of the original refinement technique.

Abstract

The topological space of the stack of $G$-zips can be computed using a refinement process. We extend this refinement process to a more general framework and show that in many situations this process can be used to compute the equivalence classes of a certain equivalence relation, which in the case of $G$-zips is precisely the topological space.