The Linear Space of Hausdorff Continuous Interval Functions

In this paper we discuss the algebraic structure of the space H(X) of finite Hausdorff continuous interval functions defined on an arbitrary topological space X. In particular, we show that H(X) is a linear space over R containing C(X), the space of continuous real functions on X, as a linear subsp...

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Bibliographic Details
Main Author: Jan Harm van der Walt
Format: Article
Language:English
Published: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics 2013-12-01
Series:Biomath
Subjects:
Online Access:http://www.biomathforum.org/biomath/index.php/biomath/article/view/207