dc.contributor.author | Korczak-Kubiak, Ewa | |
dc.contributor.author | Pawlak, Helena | |
dc.contributor.author | Pawlak, Ryszard J. | |
dc.contributor.editor | Filipczak, Małgorzata | |
dc.contributor.editor | Wagner-Bojakowska, Elżbieta | |
dc.date.accessioned | 2019-05-21T11:49:34Z | |
dc.date.available | 2019-05-21T11:49:34Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Korczak-Kubiak E., Pawlak H., Pawlak R.J., On rings of Darboux-like functions. From questions about the existence to discrete dynamical systems, [w:] Traditional and present-day topics in real analysis. Dedicated to Professor Jan Stanisław Lipiński, Filipczak M., Wagner-Bojakowska E. (red.), Wydawnictwo Uniwersytetu Łódzkiego, Łódź 2013, s. 173-194, doi: 10.18778/7525-971-1.12 | pl_PL |
dc.identifier.isbn | 978-83-7525-971-1 | |
dc.identifier.uri | http://hdl.handle.net/11089/28348 | |
dc.description.sponsorship | Udostępnienie publikacji Wydawnictwa Uniwersytetu Łódzkiego finansowane w ramach projektu „Doskonałość naukowa kluczem do doskonałości kształcenia”. Projekt realizowany jest ze środków Europejskiego Funduszu Społecznego w ramach Programu Operacyjnego Wiedza Edukacja Rozwój; nr umowy: POWER.03.05.00-00-Z092/17-00. | pl_PL |
dc.language.iso | en | pl_PL |
dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | pl_PL |
dc.relation.ispartof | Filipczak M., Wagner-Bojakowska E. (red.), Traditional and present-day topics in real analysis. Dedicated to Professor Jan Stanisław Lipiński, Wydawnictwo Uniwersytetu Łódzkiego, Łódź 2013; | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Międzynarodowe | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | 26A15 | pl_PL |
dc.subject | 26A18 | pl_PL |
dc.subject | 54C40 | pl_PL |
dc.subject | 54C70 | pl_PL |
dc.subject | 54H25 | pl_PL |
dc.subject | Darboux function | pl_PL |
dc.subject | ring of functions | pl_PL |
dc.subject | ideal of a ring of functions | pl_PL |
dc.subject | Świątkowski property | pl_PL |
dc.subject | strong Świątkowski property | pl_PL |
dc.subject | Sharkovsky property | pl_PL |
dc.subject | entropy point | pl_PL |
dc.subject | generalized Fleissner condition | pl_PL |
dc.subject | almost continuous function | pl_PL |
dc.subject | first return continuity | pl_PL |
dc.title | On rings of Darboux-like functions. From questions about the existence to discrete dynamical systems | pl_PL |
dc.type | Book chapter | pl_PL |
dc.page.number | 173-194 | pl_PL |
dc.contributor.authorAffiliation | Łódź University, Faculty of Mathematics and Computer Science | pl_PL |
dc.references | F. Azarpanah, Essential ideals in C(X), Period. Math. Hungar. 31(2) (1995), 105– 112. | pl_PL |
dc.references | A. Biś, P. Walczak Entropies of hyperbolic groups and some foliated spaces, Foliations: Geometry and Dynamics, World Sci. Pub., 2002, 197–211. | pl_PL |
dc.references | J. Brown, Almost continuous Darboux functions and Reed’s pointwise convergence criteria, Fund. Math. 86 (1974), 1–7. | pl_PL |
dc.references | A. M. Bruckner, Differentiation of Real Functions, CRM Monogr. Ser., vol. 5, AMS, Providence, RI, 1994. | pl_PL |
dc.references | A. M. Bruckner, J. G. Ceder, Darboux continuity, Jahresber. Deutsch. Math.-Verein. 67 (1965), 93–117. | pl_PL |
dc.references | A. M. Bruckner, J. G. Ceder, On the sum of Darboux functions, Proc. Amer. Math. Soc. 51 (1975), 97–102. | pl_PL |
dc.references | I. Ćwiek, R. J. Pawlak, B. Świątek, On some subclasses of Baire 1 functions, Real Anal. Exchange 27(2) (2001/2002), 415–422. | pl_PL |
dc.references | A. Denjoy, Mémoire sur les dérivés des fonctions continues, Journ. Math. Pures et Appl. 1 (1915), 105–240. | pl_PL |
dc.references | U. B. Darji, M. J. Evans, R. J. O’Malley, A first return characterization of Baire one functions, Real Anal. Exchange 19 (1993/1994), 510–515. | pl_PL |
dc.references | U. B. Darji, M. J. Evans, R. J. O’Malley, Universally first return continuous function, Proc. Amer. Math. Soc. 123(9) (1995), 2677–2685. | pl_PL |
dc.references | U. B. Darji, M. J. Evans, P. D. Humke, First return approachability, J. Math. Anal. Appl. 199 (1996), 545–557. | pl_PL |
dc.references | R. Fleissner, A note on Baire 1 Darboux function, Real Anal. Exchange 3 (1977-78), 104–106. | pl_PL |
dc.references | S. Friedland, Entropy of graphs, semigroups and groups, in: Ergodic theory of Zd Actions, M. Policott and K. Schmidt (eds.), London Math. Soc. Lecture Notes Ser. 228, Cambridge Univ. Press, 1996, 319–343. | pl_PL |
dc.references | E. Ghys, R. Langevin, P. Walczak Entropie geometrique des feuilletages, Acta Math. 160 (1988), 105–142. | pl_PL |
dc.references | L. Gillman, M. Jerison, Rings of continuous functions, Springer-Verlag, 1976. | pl_PL |
dc.references | O. A. S. Karamzadeh, M. Rostami, On the intrinsic topology and some related ideals of C(X), Proc. Amer. Math. Soc. 93(1) (1985), 179–184. | pl_PL |
dc.references | E. Kocela, Properties of some generalizations of the notion of continuity of a function, Fund. Math. 78 (1973), 133–139. | pl_PL |
dc.references | E. Korczak-Kubiak, Pierścienie funkcji H-spójnych, Doctoral Thesis, Łódź University, 2009 (in Polish). | pl_PL |
dc.references | E. Korczak-Kubiak, R. J. Pawlak, Trajectories, first return limiting notions and rings of H-connected and iteratively H-connected functions, Czech. Math. Journ., to appear. | pl_PL |
dc.references | J. Kosman, A. Maliszewski, Quotiens of Darboux-like function, Real Anal. Exchange 35(1) (2010), 243–251. | pl_PL |
dc.references | B. Koszela, On the equality of classes of continuous functions with different topologies in the set of real numbers, Demonstratio Math. 10(4) (1977), 617–627. | pl_PL |
dc.references | B. Koszela, T. Świątkowski, W. Wilczyński, Classes of continuous real functions, Real Anal. Exchange 4 (1978-79), 139–157. | pl_PL |
dc.references | J. Kucner, Funkcje posiadające silną własność Świątkowskiego, Doctoral Thesis, Łódź University, 2002 (in Polish) | pl_PL |
dc.references | A. Lindenbaum, Sur quelques propriétés des fonctions de variable réelle, Ann. Soc. Math. Polon. 6 (1927), 129–130. | pl_PL |
dc.references | J. Lipiński, On Darboux points, Bull. Acad. Pol. Sci. Sér. Math. Astronom. Phys. 26(11) (1978), 869–873. | pl_PL |
dc.references | A. Maliszewski, On the limits of strong Świątkowski functions, ZNPŁ, Matematyka, 27(719) (1995), 87–93. | pl_PL |
dc.references | A. Maliszewski, Darboux property and quasi-continuity. A uniform approach, Wyższa Szkoła Pedagogiczna w Słupsku, 1996. | pl_PL |
dc.references | T. Mańk, T. Świątkowski, On some class of functions with Darboux’s characteristic, ZNPŁ 301, Matematyka z.11 (1977), 5–10. | pl_PL |
dc.references | T. Natkaniec, Almost continuity, habilitation thesis, Bydgoszcz, 1992. | pl_PL |
dc.references | H. Nonas, Stronger topologies preserving the class of continuous functions, Fund. Math. CI (1978), 121–127. | pl_PL |
dc.references | R. J. O’Malley, B* 1 Darboux functions, Proc. Amer. Math. Soc. 60 (1976), 187–192. | pl_PL |
dc.references | H. Pawlak, R. Pawlak, On some conditions equivalent to the condition of Świątkowski for Darboux functions of one and two variables, ZNPŁ 413 (1983), 33–40. | pl_PL |
dc.references | H. Pawlak, R. J. Pawlak, Fundamental rings for classes of Darboux functions, Real Anal. Exchange 14 (1988/1989), 189–202. | pl_PL |
dc.references | H. Pawlak, R. J. Pawlak, On m-rings of functions and some generalizations of the notion of density points, Real Anal. Exchange 17, 1991-92, 550–570. | pl_PL |
dc.references | H. Pawlak, R. J. Pawlak, First-return limiting notions and rings of Sharkovsky’s functions, Real Anal. Exchange 34(2) (2008/2009), 549–564. | pl_PL |
dc.references | H. Pawlak, R. J. Pawlak, On TG approximation of functions by means of derivatives and approximately continuous functions having local periodic property, Real Functions, Density Topology and Related Topics, 2011, Łódź University Press, 101–110. | pl_PL |
dc.references | R. J. Pawlak, Przekształcenia Darboux, Habilitation Thesis, Łódź, 1985 (in Polish). | pl_PL |
dc.references | R. J. Pawlak, On rings of Darboux functions, Colloq. Math. 53 (1987), 289–300. | pl_PL |
dc.references | R. J. Pawlak, On ideals of extensions of rings of continuous functions, Real Anal. Exchange 24(2) (1998/1999), 621–634. | pl_PL |
dc.references | R. J. Pawlak, On some class of functions intermediate between the class of B* 1 and the family of continuous functions, Tatra Mt. Math. Publ. 19 (2000), 135–144. | pl_PL |
dc.references | R. J. Pawlak, On the Sharkovsky’s property of Darboux functions, Tatra Mt. Math. Publ. 42 (2009), 95–105. | pl_PL |
dc.references | R. J. Pawlak, On the entropy of Darboux functions, Colloq. Math. 116(2) (2009), 227–241. | pl_PL |
dc.references | R. J. Pawlak, E. Korczak, On some properties of essential Darboux Rings of real functions defined on topological spaces, Real Anal. Exchange 30(2) (2004/2005), 495–506. | pl_PL |
dc.references | R. J. Pawlak, J. Kucner, On some problems connected with rings of functions, Atti. Sem. Mat. Fis. Univ. Modena e Reggio Emilia LII (2004), 317–329. | pl_PL |
dc.references | R. J. Pawlak, A. Loranty, A. Bąkowska On the topological entropy of continuous and almost continuous functions, Topology Appl. 158 (2011), 2022–2033. | pl_PL |
dc.references | S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747–817. | pl_PL |
dc.references | J. Stallings, Fixed point theorem for connectivity maps, Fund. Math. 47 (1959), 249–263. | pl_PL |
dc.references | P. Szuca, Punkty stałe odwzorowań typu Darboux, Doctoral Thesis, Gdańsk, 2003 (in Polish). | pl_PL |
dc.references | P. Szuca, Sharkovskii’s theorem holds for discontinuous functions, Fund. Math. 179 (2003), 27–41. | pl_PL |
dc.references | A. Tomaszewska, On the set of functions possessing the property (top) in the space of Darboux and Świątkowski functions, Real Anal. Exchange 19(2) (1993/1994), 465–470. | pl_PL |
dc.references | P. Walczak, Dynamics of foliations, groups and pseudogroups, Mon. Mat. PAN, vol. 64, Birkhäuser Verlag, 2004. | pl_PL |
dc.references | W.Wilczyński, Topologies and classes of continuous real functions of a real variable, Rend. Circ. Mat. Palermo 26.1 (1977), 113–116. | pl_PL |
dc.references | J. Young, A theorem in the theory of functions of a real variable, Rend. Circ. Mat. Palermo 24 (1907), 187–192. | pl_PL |
dc.contributor.authorEmail | ekor@math.uni.lodz.pl | pl_PL |
dc.contributor.authorEmail | rpawlak@math.uni.lodz.pl | pl_PL |
dc.contributor.authorEmail | rpawlak@math.uni.lodz.pl | pl_PL |
dc.identifier.doi | 10.18778/7525-971-1.12 | |