"Modern Real Analysis"

Spis treści

Chapter 1. Preface (Jacek Hejduk, Stanisław Kowalczyk, Ryszard J. Pawlak and Małgorzata Turowska) 7

Chapter 2. Quasicontinuous functions with small set of discontinuity points (Ján Borsík) 11

Chapter 3. Convolution operators on some spaces of functions and distributions in the theory of circuits (Andrzej Borys, Andrzej Kamin´ski and Sławomir Sorek) 27

Chapter 4. Continuity connected with ψ-density (Małgorzata Filipczak and Małgorzata Terepeta) 45

Chapter 5. On equivalence of topological and restrictional continuity (Katarzyna Flak and Jacek Hejduk) 61

Chapter 6. On fields inspired with the polar HSV −RGB theory of Colour (Ján Haluška) 69

Chapter 7. Generalized (topological) metric space. From nowhere density to infinite games (Ewa Korczak-Kubiak, Anna Loranty and Ryszard J. Pawlak) 89

Chapter 8. Path continuity connected with density and porosity (Stanisław Kowalczyk and Małgorzata Turowska) 105

Chapter 9. Topological similarity of functions (Ivan Kupka) 127

Chapter 10. On the Darboux property of derivative multifunction (Graz˙yna Kwiecin´ska) 147

Chapter 11. On extensions of quasi-continuous functions (Oleksandr V. Maslyuchenko and Vasyl V. Nesterenko) 161

Chapter 12. Weak convergence with respect to category (Władysław Wilczyn´ski) 185

Chapter 13. New properties of the families of convergent and divergent permutations - Part I (Roman Wituła, Edyta Hetmaniok and Damian Słota) 193

Chapter 14. New properties of the families of convergent and divergent permutations - Part II (Roman Wituła) 213