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Functionally connected functions. (English) Zbl 0777.26008

Summary: In this paper the notion of functional connectedness at a point and global properties of functionally connected real functions are investigated. The relations between these properties and the Darboux property is studied.

MSC:

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