Date of Award

1970

Document Type

Thesis

Department

Mathematics

First Advisor

Dr. Donald M. Seward

Abstract

Topology is the study of topological properties of figures -- those properties which do not change under "elastic" motion. It is generally divided into two branches: set topology and algebraic topology. Set topology discusses the nature of a topological space, the properties of sets of points, the definitions of limits and continuity, the special properties of metric spaces, and questions concerning separation and connectedness. Algebraic topology deals with groups which are defined on a space, their structure and invariants.

Included in

Mathematics Commons

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