Research Article

I-cluster points of filters

Volume: 5 Number: 4 October 1, 2017
  • Rohini Jamwal, *
  • Renu Renu
  • Dalip Singh Jamwal
EN

I-cluster points of filters

Abstract

In this paper, we have introduced the concept of cluster point of a filter on a topological space and studied its various properties. We have proved the necessary condition for a filter to have an cluster point. Most of the work in this paper is inspired from [2] and .

Keywords

References

  1. V. Bal J. erveansk P. Kostyrko, T. alt, convergence and continuity of real functions, Faculty of Natural Sciences, Constantine the Philosoper University, Nitra, Acta Mathematical 5, 43-50, 2002.
  2. N. Bourbaki, General Topology, Part (I) (transl.), Addison- Wesley, Reading (1966).
  3. K. Demirci, I-limit superior and limit inferior, Math. Commun. 6 (2001), 165-172.
  4. H. Fast, sur la convergence statistique, colloq. Math. 2 (1951), 241-244.
  5. H. Halberstem, K. F. Roth, Sequences, Springer, New York, 1993.
  6. D. S. Jamwal, R. Jamwal, S. Sharma, Convergence of filters, New Trends in Mathematical Sciences, 4, No. 4, (2016), 322-328.
  7. R. Jamwal, S. Sharma and D. S. Jamwal, Some more results on Convergence of filters, New Trends in Mathematical Sciences, 5, No. 1, (2017), 190-195.
  8. P. Kostyrko, T.alt, W. Wilczynski, convergence, Real Analysis, Exch. 26 (2) (2000/2001), 669-685.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Rohini Jamwal, * This is me
India

Renu Renu This is me
India

Dalip Singh Jamwal This is me
India

Publication Date

October 1, 2017

Submission Date

October 1, 2017

Acceptance Date

November 8, 2017

Published in Issue

Year 2017 Volume: 5 Number: 4

APA
Jamwal,, R., Renu, R., & Jamwal, D. S. (2017). I-cluster points of filters. New Trends in Mathematical Sciences, 5(4), 195-202. https://izlik.org/JA65AT92MM
AMA
1.Jamwal, R, Renu R, Jamwal DS. I-cluster points of filters. New Trends in Mathematical Sciences. 2017;5(4):195-202. https://izlik.org/JA65AT92MM
Chicago
Jamwal, Rohini, Renu Renu, and Dalip Singh Jamwal. 2017. “I-Cluster Points of Filters”. New Trends in Mathematical Sciences 5 (4): 195-202. https://izlik.org/JA65AT92MM.
EndNote
Jamwal, R, Renu R, Jamwal DS (October 1, 2017) I-cluster points of filters. New Trends in Mathematical Sciences 5 4 195–202.
IEEE
[1]R. Jamwal, R. Renu, and D. S. Jamwal, “I-cluster points of filters”, New Trends in Mathematical Sciences, vol. 5, no. 4, pp. 195–202, Oct. 2017, [Online]. Available: https://izlik.org/JA65AT92MM
ISNAD
Jamwal,, Rohini - Renu, Renu - Jamwal, Dalip Singh. “I-Cluster Points of Filters”. New Trends in Mathematical Sciences 5/4 (October 1, 2017): 195-202. https://izlik.org/JA65AT92MM.
JAMA
1.Jamwal, R, Renu R, Jamwal DS. I-cluster points of filters. New Trends in Mathematical Sciences. 2017;5:195–202.
MLA
Jamwal, Rohini, et al. “I-Cluster Points of Filters”. New Trends in Mathematical Sciences, vol. 5, no. 4, Oct. 2017, pp. 195-02, https://izlik.org/JA65AT92MM.
Vancouver
1.Rohini Jamwal, Renu Renu, Dalip Singh Jamwal. I-cluster points of filters. New Trends in Mathematical Sciences [Internet]. 2017 Oct. 1;5(4):195-202. Available from: https://izlik.org/JA65AT92MM