On \(\alpha\)-continuous functions. (English) Zbl 0802.54005

Janković, Dragan S.; Konstadilaki-Savvopoulou, Ch.

Math. Bohem. 117, No. 3, 259-270 (1992).

Summary: Classes of functions continuous in various senses, in particular \(\theta\)-continuous, \(\alpha\)-continuous, feebly continuous a.o., and relations between these classes, are studied.

MSC:

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

Keywords:

theta-continuous functions; alpha-continuous functions; feebly continuous functions; nearly feebly open functions; feeble continuity; \(\alpha\)- continuity; \(\theta\)-continuity; weak continuity; \(\alpha\)-irresoluteness