Approximate maxima
Richard O'Malley (1977)
Fundamenta Mathematicae
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Displaying similar documents to “Separate approximate continuity and strong approximate continuity”
Approximate maxima
Density Continuity versus Continuity.
K. Ciesielski, K. Ostaszewski (1990)
Forum mathematicum
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Category theorems concerning Z-density continuous functions
K. Ciesielski, L. Larson (1991)
Fundamenta Mathematicae
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The ℑ-density topology on ℝ is a refinement of the natural topology. It is a category analogue of the density topology [9, 10]. This paper is concerned with ℑ-density continuous functions, i.e., the real functions that are continuous when the ℑ-densitytopology is used on the domain and the range. It is shown that the family of ordinary continuous functions f: [0,1]→ℝ which have at least one point of ℑ-density continuity is a first category subset of C([0,1])= f: [0,1]→ℝ: f is continuous...
Joint continuity of function spaces
Paul Ezust (1970)
Colloquium Mathematicae
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Changes of variable which preserve almost everywhere approximate differentiability
James Foran (1981)
Colloquium Mathematicae
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On topologies generated by some operators
Katarzyna Flak, Jacek Hejduk (2013)
Open Mathematics
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The paper concerns topologies introduced in a topological space (X, τ) by operators which are much weaker than the lower density operators. Some properties of the family of sets having the Baire property and the family of meager sets with respect to such topologies are investigated.
On the application of a theorem of K. Orlov to the approximate solution of differential equations
R. R. Milošević (1976)
Matematički Vesnik
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On the approximate values of an implicitly given function
R. Milošević (1992)
Matematički Vesnik
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A category Ψ-density topology
Władysław Wilczyński, Wojciech Wojdowski (2011)
Open Mathematics
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Ψ-density point of a Lebesgue measurable set was introduced by Taylor in [Taylor S.J., On strengthening the Lebesgue Density Theorem, Fund. Math., 1958, 46, 305–315] and [Taylor S.J., An alternative form of Egoroff’s theorem, Fund. Math., 1960, 48, 169–174] as an answer to a problem posed by Ulam. We present a category analogue of the notion and of the Ψ-density topology. We define a category analogue of the Ψ-density point of the set A at a point x as the Ψ-density point at x of the...