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.
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