Functional Boundedness of Balleans: Coarse Versions of Compactness
Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, Universytetska, 79000 Lviv, Ukraine
Institute of Mathematics, Jan Kochanowski University, Świȩtokrzyska 15, 25-406 Kielce, Poland
Faculty of Cybernetics, Taras Shevchenko National University, Glushkov avenue 4d, 03680 Kyiv, Ukraine
Author to whom correspondence should be addressed.
Received: 9 February 2019 / Revised: 6 March 2019 / Accepted: 8 March 2019 / Published: 14 March 2019
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We survey some results and pose some open problems related to boundedness of real-valued functions on balleans and coarse spaces. Special attention is paid to balleans on groups. The boundedness of functions that respect the coarse structure of a ballean could be considered as a coarse counterpart of pseudo-compactness.
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Banakh, T.; Protasov, I. Functional Boundedness of Balleans: Coarse Versions of Compactness. Axioms 2019, 8, 33.
Banakh T, Protasov I. Functional Boundedness of Balleans: Coarse Versions of Compactness. Axioms. 2019; 8(1):33.
Banakh, Taras; Protasov, Igor. 2019. "Functional Boundedness of Balleans: Coarse Versions of Compactness." Axioms 8, no. 1: 33.
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