Research Article
Year 2022,
Issue: 39, 1 - 7, 30.06.2022
Abstract
In this paper, we introduce a weak form of connectedness with respect to an ideal. We also investigate its relation to connectedness. We examine the I-connectedness property on the new topology introduced by the ideal. In addition, it is revealed under what conditions I-connectedness and connectedness coincide and one differs from another.
References
- R. Vaidyanathaswamy, The Localisation Theory in Set Topology, Proceedings of the Indian Academy of Sciences 20 (1945) 51–61.
- K. Kuratowski, Topology, Volume I, Academic Press, New York, 1966.
- E. Ekici, T. Noiri, Connectedness in Ideal Topological Spaces, Novi Sad Journal of Mathematics 38 (2) (2008) 65–70.
- N. Sathiyasundari, V. Renukadevi, Note on ∗-Connected Ideal Spaces, Novi Sad Journal of Mathematics 42 (1) (2012) 15–20.
- S. Modak, T. Noiri, Connectedness of Ideal Topological Spaces, Filomat 29 (4) (2015) 661–665.
- S. Kilinc, More on ∗∗-Connectedness, Matematichki Bilten 43 (2) (2019) 53–60.
- B. K. Tyagi, M. Bhardwaj, S. Singh, Cl*-Connectedness and Cl-Cl*-Connectedness in Ideal Topological Spaces, Matematichki Bilten 42 (2) (2018) 91–100.
- D. Jankovic, T. R. Hamlett, New Topologies from Old via Ideals, The American Mathematical Monthly 97(4) (1990) 295–310.
- O. Njåstad, Remarks on Topologies Defined by Local Properties, Avhandlinger Norske Videnskaps-Akademi Oslo, Universitetsforlaget, 1966.
- R. L. Newcomb, Topologies Which are Compact Modulo an Ideal, PhD Dissertation, University of California (1967) Santa Barbara, USA.
- E. Ekici, T. Noiri, ∗-Hyperconnected Ideal Topological Spaces, Analele Stiintifice ale Universitatii Al I Cuza din lasi-Matematica, Tomul 58 (1) (2012) 121–129.
- A. Keskin, S., Yüksel, T. Noiri, On I-Extremally Disconnected Spaces, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 56 (1) (2007) 33–40.
Year 2022,
Issue: 39, 1 - 7, 30.06.2022
Abstract
References
- R. Vaidyanathaswamy, The Localisation Theory in Set Topology, Proceedings of the Indian Academy of Sciences 20 (1945) 51–61.
- K. Kuratowski, Topology, Volume I, Academic Press, New York, 1966.
- E. Ekici, T. Noiri, Connectedness in Ideal Topological Spaces, Novi Sad Journal of Mathematics 38 (2) (2008) 65–70.
- N. Sathiyasundari, V. Renukadevi, Note on ∗-Connected Ideal Spaces, Novi Sad Journal of Mathematics 42 (1) (2012) 15–20.
- S. Modak, T. Noiri, Connectedness of Ideal Topological Spaces, Filomat 29 (4) (2015) 661–665.
- S. Kilinc, More on ∗∗-Connectedness, Matematichki Bilten 43 (2) (2019) 53–60.
- B. K. Tyagi, M. Bhardwaj, S. Singh, Cl*-Connectedness and Cl-Cl*-Connectedness in Ideal Topological Spaces, Matematichki Bilten 42 (2) (2018) 91–100.
- D. Jankovic, T. R. Hamlett, New Topologies from Old via Ideals, The American Mathematical Monthly 97(4) (1990) 295–310.
- O. Njåstad, Remarks on Topologies Defined by Local Properties, Avhandlinger Norske Videnskaps-Akademi Oslo, Universitetsforlaget, 1966.
- R. L. Newcomb, Topologies Which are Compact Modulo an Ideal, PhD Dissertation, University of California (1967) Santa Barbara, USA.
- E. Ekici, T. Noiri, ∗-Hyperconnected Ideal Topological Spaces, Analele Stiintifice ale Universitatii Al I Cuza din lasi-Matematica, Tomul 58 (1) (2012) 121–129.
- A. Keskin, S., Yüksel, T. Noiri, On I-Extremally Disconnected Spaces, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 56 (1) (2007) 33–40.
There are 12 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Research Article |
| Authors | |
| Submission Date | April 16, 2022 |
| Publication Date | June 30, 2022 |
| Published in Issue | Year 2022 Issue: 39 |