Real functions of a real variable may be classified according as to whether or not they are continuous, neighborly, cliquish, or discriminative. The purpose of this paper is to investigate these properties, and to discover how they are related. In this paper X denotes the real continuum E1 or an interval, open or closed, contained in E1. The function f (x) is a function from the set X to a subset of E1. N denotes an arbitrary open interval in E1, and N (x) an arbitrary open interval containing the point x.
Proceedings of the Iowa Academy of Science
© Copyright 1954 by the Iowa Academy of Science, Inc.
Smith, Newton B.
"Types of Functions,"
Proceedings of the Iowa Academy of Science: Vol. 61:
, Article 38.
Available at: https://scholarworks.uni.edu/pias/vol61/iss1/38