The Reverse of the Intermediate Value Theorem in Some Topological Spaces

Any continuous function with values in a Hausdorff topological space has a closed graph and satisfies the property of intermediate value. However, the reverse implications are false, in general. In this article, we treat additional conditions on the function, and its graph for the reverse to be true...

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Bibliographic Details
Main Authors: Oussama Kabbouch, Mustapha Najmeddine
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2021/6320969
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