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Year 2011, Volume: 40 Issue: 4, 515 - 522, 01.04.2011

Abstract

References

  • Alexandroff, P. S. Diskrete R¨aume, Mat. Sbornik (N. S.) 2, 501–518, 1937.
  • Arenas, F. G. Alexandroff spaces, Acta Mathematica Universitatis Comenianae 68 (1), 17–25, 1999.
  • Elatrash, M. S. and Mahdi, H. B. ταon ArtinianT0-Alexandroff spaces, Journal of the Islamic University 13 (2), 163–178, 2005.
  • El-Fattah El-Atik, A., Abd El-Monsef, M. E. and Lashin, E. I. On finite T0topological spaces, Proceedings of the Ninth Prague Topological Symposium (Prague 2001) 75–90, Topology Atlas, 2002.
  • Krishnamurthy, V. On the number of topologies on a finite set, American Mathematical Monthly 73 (2), 154–157, 1966.
  • Richmond, B. Principal topologies and transformation semigroups, Topology and its Appli- cations 155 (15), 1644–1649, 2008.
  • Thornton, M. C. Torsion topological groups with minimal open sets, Bulletin of the Australian Mathematical Society 5, 55–59, 1971.

Functional Alexandroff Spaces

Year 2011, Volume: 40 Issue: 4, 515 - 522, 01.04.2011

Abstract

In the following text a proper subclass of Alexandroff topological spaces, namely functional Alexandroff topological spaces, is introduced. We discuss relation between Alexandroff spaces and functional Alexandroff spaces, functional Alexandroff spaces as dynamical systems, and other related topics.

References

  • Alexandroff, P. S. Diskrete R¨aume, Mat. Sbornik (N. S.) 2, 501–518, 1937.
  • Arenas, F. G. Alexandroff spaces, Acta Mathematica Universitatis Comenianae 68 (1), 17–25, 1999.
  • Elatrash, M. S. and Mahdi, H. B. ταon ArtinianT0-Alexandroff spaces, Journal of the Islamic University 13 (2), 163–178, 2005.
  • El-Fattah El-Atik, A., Abd El-Monsef, M. E. and Lashin, E. I. On finite T0topological spaces, Proceedings of the Ninth Prague Topological Symposium (Prague 2001) 75–90, Topology Atlas, 2002.
  • Krishnamurthy, V. On the number of topologies on a finite set, American Mathematical Monthly 73 (2), 154–157, 1966.
  • Richmond, B. Principal topologies and transformation semigroups, Topology and its Appli- cations 155 (15), 1644–1649, 2008.
  • Thornton, M. C. Torsion topological groups with minimal open sets, Bulletin of the Australian Mathematical Society 5, 55–59, 1971.
There are 7 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Mathematics
Authors

Fatemah Ayatollah Zadeh Shirazi This is me

Nasser Golestani This is me

Publication Date April 1, 2011
Published in Issue Year 2011 Volume: 40 Issue: 4

Cite

APA Shirazi, F. A. Z., & Golestani, N. (2011). Functional Alexandroff Spaces. Hacettepe Journal of Mathematics and Statistics, 40(4), 515-522.
AMA Shirazi FAZ, Golestani N. Functional Alexandroff Spaces. Hacettepe Journal of Mathematics and Statistics. April 2011;40(4):515-522.
Chicago Shirazi, Fatemah Ayatollah Zadeh, and Nasser Golestani. “Functional Alexandroff Spaces”. Hacettepe Journal of Mathematics and Statistics 40, no. 4 (April 2011): 515-22.
EndNote Shirazi FAZ, Golestani N (April 1, 2011) Functional Alexandroff Spaces. Hacettepe Journal of Mathematics and Statistics 40 4 515–522.
IEEE F. A. Z. Shirazi and N. Golestani, “Functional Alexandroff Spaces”, Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 4, pp. 515–522, 2011.
ISNAD Shirazi, Fatemah Ayatollah Zadeh - Golestani, Nasser. “Functional Alexandroff Spaces”. Hacettepe Journal of Mathematics and Statistics 40/4 (April 2011), 515-522.
JAMA Shirazi FAZ, Golestani N. Functional Alexandroff Spaces. Hacettepe Journal of Mathematics and Statistics. 2011;40:515–522.
MLA Shirazi, Fatemah Ayatollah Zadeh and Nasser Golestani. “Functional Alexandroff Spaces”. Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 4, 2011, pp. 515-22.
Vancouver Shirazi FAZ, Golestani N. Functional Alexandroff Spaces. Hacettepe Journal of Mathematics and Statistics. 2011;40(4):515-22.