Points of continuity and quasicontinuity

• Autorzy: Ján Borsík
• Języki publikacji: EN

Abstrakty

EN

Let C(f), Q(f), E(f) and A(f) be the sets of all continuity, quasicontinuity, upper and lower quasicontinuity and cliquishness points of a real function f: X → ℝ, respectively. The triplets (C(f),Q(f),A(f)), (C(f),E(f),A(f) and (Q(f),E(f),A(f)are characterized for functions defined on Baire metric spaces without isolated points.

Słowa kluczowe

EN

Continuity; Quasi-continuity; Cliquishness; Upper and lower quasicontinuity

Kategorie tematyczne

• 26A15: Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.)
• 54C30: Real-valued functions
• 54C08: Weak and generalized continuity

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 1
• Strony: 179-190

Daty

wydano

2010-02-01

online

2010-02-02

Twórcy

autor

Ján Borsík

• Slovak Academy of Sciences

Bibliografia

• [1] Borsík J., On the points of bilateral quasicontinuity of functions, Real Anal. Exchange, 1993/94, 19, 529–536
• [2] Borsík J., Points of continuity, quasicontinuity, cliquishness and upper and lower quasicontinuity, Real Anal. Exchange, 2007/2008, 33, 339–350
• [3] Borsík J., Sums of quasicontinuous functions defined on pseudometrizable spaces, Real Anal. Exchange, 1996/97, 22, 328–337
• [4] Ewert J., Lipski T., Lower and upper quasicontinuous functions, Demonstratio Math., 1983, 16, 85–93
• [5] Lipinski J.S., Šalát T., On the points of quasicontinuity and cliquishness of functions, Czechoslovak Math. J., 1971, 21, 484–489
• [6] Neubrunn T., Quasi-continuity, Real Anal. Exchange, 1988/89, 14, 259–306
• [7] Neubrunnová A., On quasicontinuous and cliquishfunctions, Časopis Pěst. Mat., 1974, 99, 109–114
• [8] Stronska E., Maximal families for the class of upper and lower semi-quasicontinuous functions, Real Anal. Exchange, 2001/2002, 27, 599–608

Identyfikatory

DOI

10.2478/s11533-009-0071-y