The Separation Axioms in Topology

Author

Robert J. Wheeler, Marquette University

Date of Award

6-1971

Degree Type

Master's Essay - Restricted

Degree Name

Master of Science (MS)

Department

Mathematics, Statistics and Computer Science

Abstract

There are a collection of axioms known as separation axioms that may be assigned to a topology. The T_i-space nomenclature for i = 0, 1, 2, 3, 4, 5 was introduced by Alexander and Hopf in their famous treatise "Topologies", Springer, Berlin, 1935. The T refers to the German word Trennungsaxiom which means "separation axioms." The axioms tell the degree to which distinct points or closed sets may be separated by open sets.

Comments

An Essay Submitted to the Faculty of the Graduate School, Marquette University in Partial Fulfillment of the Requirements for the Degree of Master of Science, Milwaukee, Wisconsin

Recommended Citation

Wheeler, Robert J., "The Separation Axioms in Topology" (1971). Master's Essays (1922 - ). 2665.
https://epublications.marquette.edu/essays/2665