Note on Convergence in Topology
Richard F. Arens · Mathematics Magazine · 1950
Topology, which is a generalization of geometry, axiomatizes the notions of open set and closed set. Here we show a method of arriving at the same result by axiomatizing the notion of convergence. To understand what the difference in these approaches is, one should have had a course in point set topology. However to see wherein this paper differs from 10 or 20 others on the same topic (which we explain in the introduction) one should be acquainted with some of the references in the bibliography.