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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 40 Issue: 4

Functional Alexandroff Spaces

Fatemah Ayatollah Zadeh Shirazi
Nasser Golestani
Sayfa
—
Yayın Tarihi
2011-04-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We discuss relation between Alexandroff spaces and functional Alexandroff spaces, functional Alexandroff spaces as dynamical systems, and other related topics.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In the following text a proper subclass of Alexandroff topological spaces, namely functional Alexandroff topological spaces, is introduced.
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Temel Bulgular & Veri:In the following text a proper subclass of Alexandroff topological spaces, namely functional Alexandroff topological spaces, is introduced.
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Sonuç & Katkı:We discuss relation between Alexandroff spaces and functional Alexandroff spaces, functional Alexandroff spaces as dynamical systems, and other related topics.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alexandroff topology · Dynamical system · Finite topology

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.

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Bu Makaleye Atıf Yap

Shirazi, F. A. Z., Golestani, N. (2011). Functional Alexandroff Spaces. Hacettepe Journal of Mathematics and Statistics, Volume: 40 Issue: 4. https://ajindex.com/articles/1403616

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Kaynakça (7)

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  2. Arenas, F. G. Alexandroff spaces, Acta Mathematica Universitatis Comenianae 68 (1), 17–25, 1999.
  3. Elatrash, M. S. and Mahdi, H. B. ταon ArtinianT0-Alexandroff spaces, Journal of the Islamic University 13 (2), 163–178, 2005.
  4. 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.
  5. Krishnamurthy, V. On the number of topologies on a finite set, American Mathematical Monthly 73 (2), 154–157, 1966.
  6. Richmond, B. Principal topologies and transformation semigroups, Topology and its Appli- cations 155 (15), 1644–1649, 2008.
  7. Thornton, M. C. Torsion topological groups with minimal open sets, Bulletin of the Australian Mathematical Society 5, 55–59, 1971.