Home > Iowa Academy of Science > Journals & Newsletters > Proceedings of the Iowa Academy of Science > Volume 59 (1952) > Annual Issue
Document Type
Research
Abstract
The object of this paper is to give some examples of functions which are peculiar with respect to continuity and neighborliness, and also to show that there exist point properties (of functions) with respect to which no function can be peculiar. One such point property, namely that of cliquishness of a junction as defined here is a natural generalization of continuity and neighborliness, but yields results which are quite different from those which hold for continuous or neighborly functions. This property of cliquishness reduces to the property of neighborly' as defined by Bledsoe3 for the case when the domain of definition of the function is an interval (a,b) and the range of the function is a metric space.
Publication Date
1952
Journal Title
Proceedings of the Iowa Academy of Science
Volume
59
Issue
1
First Page
338
Last Page
343
Copyright
©1952 Iowa Academy of Science, Inc.
Language
en
File Format
application/pdf
Recommended Citation
Thielman, H. P.
(1952)
"Pathological Functions,"
Proceedings of the Iowa Academy of Science, 59(1), 338-343.
Available at:
https://scholarworks.uni.edu/pias/vol59/iss1/41