On Finitely Continuous Darboux Functions and Strong Finitely Continuous Functions



Real Analysis Exchange

On Finitely Continuous Darboux Functions and Strong Finitely Continuous Functions

Mariola Marciniak

Source: Real Anal. Exchange Volume 33, Number 1 (2007), 15-22.

Abstract

Properties of the families of finitely continuous and strong finitely continuous functions are investigated. We show that the Darboux property implies continuity of strong finitely continuous functions and that the family ${ DB}_1^{**} $ is superporous in the space of all finitely continuous functions with the Darboux property.

Primary Subjects: 26A15, 26A21
Keywords: Darboux

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Permanent link to this document: http://projecteuclid.org/euclid.rae/1209398374


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