Types of Functions

Authors

Newton B. Smith, Iowa State College

Document Type

Research

Abstract

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.

Publication Date

1954

Journal Title

Proceedings of the Iowa Academy of Science

Volume

61

Issue

1

First Page

324

Last Page

329

Copyright

©1954 Iowa Academy of Science, Inc.

Language

en

File Format

application/pdf

Recommended Citation

Smith, Newton B. (1954) "Types of Functions," Proceedings of the Iowa Academy of Science, 61(1), 324-329.
Available at: https://scholarworks.uni.edu/pias/vol61/iss1/38