Have a personal or library account? Click to login
On Semi-Open Sets and Mutual Correspondence Between Properties of Functions Considered with Respect to Different Topological Structures Cover

On Semi-Open Sets and Mutual Correspondence Between Properties of Functions Considered with Respect to Different Topological Structures

Tatra Mountains Mathematical Publications
Volume 65 (2016): Issue 1 (March 2016)
By: Ewa Korczak-Kubiak and  Ryszard J. Pawlak  
Open Access
|Aug 2016

References

  1. [1] ABDUL-JABBAR, A. M.: Topological property of θ-semi-open sets, Int. J. Pure AppL Sci Technol. 13 (2012), 7-15.
    Search in Google Scholar
  2. [2] ALSEDA, L. LLIBRE, J.-MISIUREWICZ, M.: Combinatorial Dynamics and Entropy in Dimension One. World Scientific Publ., Singapore, 1993.10.1142/1980
    Search in Google Scholar
  3. [3] BAYHAN, S.-KANIBIR, A.-REILLY, I. L.: On functions between generalized topological spaces, Appl. Gen. Topol. 14 (2013), 195-203.10.4995/agt.2013.1588
    Search in Google Scholar
  4. [4] BENCHALLI, S. S.-WALI, R. S.: On RW-closed sets in topological spaces, Bull. Malays. Math. Sci. Soc. (2) 30 (2007), 99-110.
    Search in Google Scholar
  5. [5] BRUCKNER, A. M. - HU, T.: On scrambled sets for chaotic functions, Trans. Amer. Math. Soc. 301 (1987), 289-297.10.1090/S0002-9947-1987-0879574-0
    Search in Google Scholar
  6. [6] CALDAS, M.-SARAF, R. K.: On approximately semiopen maps in topological spaces, Divulg. Mat. 14 (2006), 31-37.
    Search in Google Scholar
  7. [7] CSÁSZÁR, A.: Generalized open sets, Acta Math. Hungar. 75 (1997), 65-87.10.1023/A:1006582718102
    Search in Google Scholar
  8. [8] CSÁSZÁR, A.: Generalized topology, generalized continuity, Acta Math. Hungar. 96 (2002), 351-357.10.1023/A:1019713018007
    Search in Google Scholar
  9. [9] CSÁSZÁR, A.: Generalized open sets in generalized topologies, Acta Math. Hungar. 106 (2005), 53-66.10.1007/s10474-005-0005-5
    Search in Google Scholar
  10. [10] CSÁSZÁR, A.: Weak structures, Acta Math. Hungar. 131 (2011), 193-195.10.1007/s10474-010-0020-z
    Search in Google Scholar
  11. [11] EKICI, E.-JAFARI S.: On a weaker form of complete irresoluteness, BoL Soc. Paran. Mat. 26 (2008), 81-87.
    Search in Google Scholar
  12. [12] EKICI, E.: Further new generalized topologies via mixed constructions due to Császár, Math. Bohem. 140 (2015), 1-9. 10.21136/MB.2015.144173
    Search in Google Scholar
  13. [13] ENGELKING, R.: General Topology. Heldermann, Berlin, 1989.
    Search in Google Scholar
  14. [14] GENE CROSSLEY, S.-HILDEBRAND, S. K.: Semi-topological properties, Fund. Math. 74 (1972), 233-254.10.4064/fm-74-3-233-254
    Search in Google Scholar
  15. [15] GOTTSCHALK, W. H.-HEDLUND, G. A.: Topological Dynamics, in: Amer. Math. Soc. Colloq. Publ., Vol 36, Providence, RI, 1995.
    Search in Google Scholar
  16. [16] KALAlYANL N.-SAI SUNDARA KRISHNAN, G.: On γ-generalized α-continuous mappings in topological spaces, Bonfring Int. J. Data Mining 2 (2012), 23-27.10.9756/BIJDM.1108
    Search in Google Scholar
  17. [17] KOLYADA, S.-SNOHA, L'.: Some aspects of topological transitivity-a survey. Grazer Math. Ber. 334 (1997), 3-35.
    Search in Google Scholar
  18. [18] KORCZAK-KUBIAK, E-LORANTY, A.-PAWLAK, R. J.: Baire generalized topological spaces, generalized metric spaces and infinite games. Acta Math. Hung. 140 (2013), 203-231.
    Search in Google Scholar
  19. [19] LI, J.: Generalized topologies generated by subbases Acta Math. Hung. 114 (2007), 1-12.
    Search in Google Scholar
  20. [20] LORANTY, A.-PAWLAK, R. J.: On the transitivity of multifunctions and density of orbits in generalized topological spaces. Acta Math. Hungar. 135 (2012), 56-66.
    Search in Google Scholar
  21. [21] MAI, J. H.-SUN, W. H.: Transitivities of maps of general topological spaces, Topology Appl. 157 (2010), 946-953.10.1016/j.topol.2009.12.011
    Search in Google Scholar
  22. [22] DE MELO, W.-VAN STRIEN, S.: One-Dimensional Dynamics. Springer, Berlin, 1993.10.1007/978-3-642-78043-1
    Search in Google Scholar
  23. [23] MICHAEL, F. I.: On semi-open sets with respect to an ideal, Eur. J. Pure Appl. Math. 6 (2013), 53-58.
    Search in Google Scholar
  24. [24] PETERSEN, K.: Ergodic Theory, in: Cambridge Stud. Adv. Math., Vol. 2, Cambridge Univ. Press, Cambridge, 1983.
    Search in Google Scholar
  25. [25] POWAR, P. L.-RAJAK, K. L.: Some new concepts of continuity in generalized topological space, Int. J. Comput. Appl. 38 (2012), 12-17.
    Search in Google Scholar
  26. [26] SIDOROV, Y. A.: Topologically indecomposable, transformations of the n-dimensional- space, Volzh. Mat. Sbornik 5 (1966), 326-330. (In Russian)
    Search in Google Scholar
  27. [27] WALTERS, P.: An Introduction to Ergodic Theory. Springer, New York, 1982.10.1007/978-1-4612-5775-2
    Search in Google Scholar
DOI: https://doi.org/10.1515/tmmp-2016-0010 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Journal RSS Feed
Language: English
Page range: 119 - 134
Submitted on: Nov 12, 2015
Published on: Aug 4, 2016
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year
Keywords:
semi-open set,
generalized topological space,
Baire generalized topological space,
transitive function,
nomadic function.
Related subjects:
Mathematics,
General mathematics

© 2016 Ewa Korczak-Kubiak, Ryszard J. Pawlak, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Previous articleVolume 65 (2016): Issue 1 (March 2016)Next article