On the limits of sequences of Darboux a.e. quasi-continuous functions
Zbigniew Grande (1993)
Acta Universitatis Carolinae. Mathematica et Physica
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Zbigniew Grande (1993)
Acta Universitatis Carolinae. Mathematica et Physica
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Ján Borsík (2010)
Open Mathematics
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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.
Jaroslav Smítal (1972)
Matematický časopis
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Jaroslav Smítal (1973)
Matematický časopis
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Zbigniew Grande (2011)
Open Mathematics
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A sequence (f n)n of functions f n: X → ℝ almost decreases (increases) to a function f: X → ℝ if it pointwise converges to f and for each point x ∈ X there is a positive integer n(x) such that f n+1(x) ≤ f n (x) (f n+1(x) ≥ f n(x)) for n ≥ n(x). In this article I investigate this convergence in some families of continuous functions.
Jozef Doboš (1981)
Časopis pro pěstování matematiky
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