#### 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 Kolodner

#### Project Sponsors

National Science Foundation

#### Language

English

#### Document Type

Dissertation

#### Recommended Citation

Kent, Darrell C.. "Convergence Functions and Their Related Topologies." (1963). https://digitalrepository.unm.edu/math_etds/127