Research Article

Some Properties of Generalized Topologies in GTSs

Volume: 3 Number: 3 September 29, 2020
EN

Some Properties of Generalized Topologies in GTSs

Abstract

In this article, we introduce one new generalized topology and investigate its properties in a generalized topological space. Also, we give various properties of some generalized topologies defined in a generalized topological space. Finally, we analyze the nature of some special spaces.                                                                                                                                                                                                                                                                                                 

Keywords

genralized topology, Baire Space, Stack, p-Stack, Dense Sets

Supporting Institution

A. K. D. Dharma Raja Women's College, Rajapalayam, Tamilnadu, India.

References

  1. [1] M. R. Ahmadi Zand and R. Khayyeri, Generalized Gd -submaximal spaces, Acta Math. Hungar., 149 (2) (2016), 274 - 285.
  2. [2] S. Al Ghour, A. Al-Omari and T. Noiri, On homogeneity and homogeneity components in generalized topological spaces, Filomat, 27 (2013), 1097 - 1105.
  3. [3] A. Csaszar, Generalized open sets, Acta Math. Hungar., 75 (1997), 65 - 87.
  4. [4] A. Csaszar, Extremally disconnected generalized topologies, Annales Univ. Sci. Budapest., 47 (2004), 91 - 96.
  5. [5] A. CsAszar, Generalized open sets in generalized topologies, Acta Math. Hungar. 106 (1 - 2) (2005), 53 - 66.
  6. [6] E. Ekici, Generalized hyperconnectedness, Acta Mathematica Hungarica, 133 (1 - 2) (2011), 140 - 147.
  7. [7] E. Ekici, Generalized Submaximal Spaces, Acta Math. Hungar., 134 (1 – 2) (2012), 132 - 138.
  8. [8] E. Korczak - Kubiak, A. Loranty and R. J. Pawlak, Baire generalized topological spaces, generalized metric spaces and infinite games, Acta Math. Hungar., 140 (2013), 203 - 231.
  9. [9] Z. Li and F. Lin, Baireness on generalized topological spaces, Acta Math. Hungar., 139 (4) (2013), 320 - 336.
  10. [10] W. K. Min, On weak neighborhood systems and spaces, Acta Math. Hungar., 121 (3) (2008), 283 - 292.
APA
Subramanian, V. (2020). Some Properties of Generalized Topologies in GTSs. Communications in Advanced Mathematical Sciences, 3(3), 162-172. https://doi.org/10.33434/cams.769793
AMA
1.Subramanian V. Some Properties of Generalized Topologies in GTSs. Communications in Advanced Mathematical Sciences. 2020;3(3):162-172. doi:10.33434/cams.769793
Chicago
Subramanian, Vadakasi. 2020. “Some Properties of Generalized Topologies in GTSs”. Communications in Advanced Mathematical Sciences 3 (3): 162-72. https://doi.org/10.33434/cams.769793.
EndNote
Subramanian V (September 1, 2020) Some Properties of Generalized Topologies in GTSs. Communications in Advanced Mathematical Sciences 3 3 162–172.
IEEE
[1]V. Subramanian, “Some Properties of Generalized Topologies in GTSs”, Communications in Advanced Mathematical Sciences, vol. 3, no. 3, pp. 162–172, Sept. 2020, doi: 10.33434/cams.769793.
ISNAD
Subramanian, Vadakasi. “Some Properties of Generalized Topologies in GTSs”. Communications in Advanced Mathematical Sciences 3/3 (September 1, 2020): 162-172. https://doi.org/10.33434/cams.769793.
JAMA
1.Subramanian V. Some Properties of Generalized Topologies in GTSs. Communications in Advanced Mathematical Sciences. 2020;3:162–172.
MLA
Subramanian, Vadakasi. “Some Properties of Generalized Topologies in GTSs”. Communications in Advanced Mathematical Sciences, vol. 3, no. 3, Sept. 2020, pp. 162-7, doi:10.33434/cams.769793.
Vancouver
1.Vadakasi Subramanian. Some Properties of Generalized Topologies in GTSs. Communications in Advanced Mathematical Sciences. 2020 Sep. 1;3(3):162-7. doi:10.33434/cams.769793