WC spaces: Between T[subscript 1] and T[subscript 2].

Author

Walter L. Rice

Date of Award

3-1-1972

Document Type

Thesis

Degree Name

Master of Arts (MA)

Department

Mathematics

First Advisor

Dr. J. Scott Downing

Abstract

In this paper a separation property is introduced which is a con­sequence of the Hausdorff separation axiom r2 , but not conversely. This property is characterized by a convergence property of neighborhood filterbases of points in a topological space which is defined and shown to be intermediate to standard convergence and accumulation of neighbor­hood filterbases.

Comments

A Thesis Presented to the Department of Mathematics and the Faculty of the Graduate College University of Nebraska In Partial Fulfillment of the Requirements for the Degree Master of Arts University of Nebraska at Omaha. Copyright 1972 Walter L. Rice

Recommended Citation

Rice, Walter L., "WC spaces: Between T[subscript 1] and T[subscript 2]." (1972). Student Work. 3567.
https://digitalcommons.unomaha.edu/studentwork/3567