Publication Date

5-29-1963

Abstract

A convergence function is a correspondence between the filters on a given set S and the subsets of S which specifies which filters converge to which points of S. This concept is defined to include types of convergence which are more general than that defined by specifying a topology on S. Thus a convergence function may be regarded as a generalization of a topology.

Degree Name

Mathematics

Level of Degree

Doctoral

Department Name

Mathematics & Statistics

First Committee Member (Chair)

Jorg Mayer-Kalkerschmidt

Second Committee Member

Donald Ward Dubois

Third Committee Member

Morris S. Hendrickson

Fourth Committee Member

Ignace I. Kolodner

Project Sponsors

National Science Foundation

Language

English

Document Type

Dissertation

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