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Quotients of quasi-continuous functions. (English) Zbl 0966.26004

Summary: The main goal of this paper is to characterize both the quotients of quasi-continuous and the quotients of Darboux quasi-continuous functions. We prove also theorems concerning common divisor for the families of the quotients of quasi-continuous (Darboux quasi-continuous) functions with respect to quasi-continuity (Darboux property and quasi-continuity, respectively).

MSC:

26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable
54C08 Weak and generalized continuity
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