On finitely continuous darboux functions and strong finitely continuous functions
M Marciniak - 2007 - projecteuclid.org
2007•projecteuclid.org
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.
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.
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 is superporous in the space of all finitely continuous functions with the Darboux property.
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