Pasting and stability in convergence spaces

Abstract

We prove a pasting lemma for locally finite closed covers of convergence spaces with limit codomains. We also show how the validity of such lemmas characterizes limit spaces.

arXiv comment10 pages, 1 figure. Retitled and substantially revised. The pasting lemma now allows arbitrary convergence domains, and limit spaces are characterized by closed pasting. Homotopy material from earlier versions omitted