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Article Title

Types of Functions

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

© Copyright 1954 by the Iowa Academy of Science, Inc.

Language

EN

File Format

application/pdf

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