Search Results - "Caserta, Agata"

Decomposition of Topologies Which Characterize the Upper and Lower Semicontinuous Limits of Functions by Caserta, Agata

“…We present a decomposition of two topologies which characterize the upper and lower semicontinuity of the limit function to visualize their hidden and opposite…”
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Statistical Convergence in Function Spaces by Caserta, Agata, Di Maio, Giuseppe, Kočinac, Ljubiša D. R.

“…We study statistical versions of several classical kinds of convergence of sequences of functions between metric spaces (Dini, Arzelà, and Alexandroff) in…”
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Strong Proximal Continuity and Convergence by Caserta, Agata, Lucchetti, Roberto, Naimpally, Som

“…In several situations the notion of uniform continuity can be strengthened to strong uniform continuity to produce interesting properties, especially in…”
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The Alexandroff Duplicate and its subspaces by Caserta, Agata, Watson, Stephen

“…We study some topological properties of the class of the Alexandroff duplicates and their subspaces. We give a characterization of metrizability and Lindel¨of…”
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Michael spaces and Dowker planks by Caserta, Agata, Watson, Stephen

“…We investigate the Lindelöf property of Dowker planks. In particular, we give necessary conditions such that the product of a Dowker plank with the irrationals…”
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On resolutions of linearly ordered spaces by Caserta, Agata, Giarlotta, Alfio, Watson, Stephen

“…We define an extended notion of resolution of topologicalspaces, where the resolving maps are partial instead of total. To showthe usefulness of this notion,…”
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Strong Whitney convergence by Caserta, Agata

“…The notion of strong uniform convergence on bornologies introduced in 2009. by Beer-Levi turns to give the classical convergence introduced by Arzelà in 1883…”
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Some Convergence Results for Partial Maps by Caserta, Agata, Lucchetti, Roberto

“…In this paper we analyze some aspects of a new notion of convergence for nets of partial maps, introduced in [8]. In particular, we show that the introduced…”
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Arzelà's Theorem and strong uniform convergence on bornologies by Caserta, Agata, Di Maio, Giuseppe, Holá, L˘ubica

“…In 1883 Arzelà (1983/1984) [2] gave a necessary and sufficient condition via quasi-uniform convergence for the pointwise limit of a sequence of real-valued…”
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Convergence of partial maps by Beer, Gerald, Caserta, Agata, Di Maio, Giuseppe, Lucchetti, Roberto

“…Given metric spaces (X,d) and (Y,ρ), a partial map between X and Y is a pair (D,u), where D is a closed subset of X and u:D→Y is a function. We introduce a…”
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Variations on selective separability in non-regular spaces by Caserta, Agata, Di Maio, Giuseppe

“…We study various variations on selective separability in non-regular topological spaces. We use the notions of θ-closure and θ-density to define selective…”
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(STRONG) WEAK EXHAUSTIVENESS AND (STRONG UNIFORM) CONTINUITY by Caserta, Agata, Di Maio, Giuseppe, Holá, L'ubica

“…In this paper we continue, in the realm of metric spaces, the study of exhaustiveness and weak exhaustiveness at a point of a net of functions initiated by…”
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Bornologies, selection principles and function spaces by Caserta, Agata, Di Maio, Giuseppe, Kocinac, Ljubisa D. R

“…We study some closure-type properties of function spaces endowed with the new topology of strong uniform convergence on a bornology introduced by Beer and Levy…”
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