Date

1961

Document Type

Thesis

Degree

Master of Science

Department

Mathematics

First Adviser

Samuel L. Gulden

Abstract

A curve has often been thought of as the "path of acontinuous moving point". This concept of a curve is again associatedd with the intuitive notion of "thinness". However, the path of a continuously moving point is not a thin or curve-like set. To speak more precisely about curves and arcs, we shall employ notions out of point set topology: the notion of a metric space; of compactness; of connectedness; and of ordering.

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