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Dergiler / Proceedings of International Mathematical Sciences / 2023 / Volume: 5 Issue: 2

A Note on Stone Spaces

Mehmet Baran(ERCIYES UNIVERSITY)0000-0001-9802-3718
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Yayın Tarihi
2023-12-31
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Finally, we investigate some properties of them and compare our results.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The goal of this paper is to characterize each of compact, totally disconnected, Stone relation spaces, and Stone reflexive spaces as well as examine the relationships between them.
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Temel Bulgular & Veri:The goal of this paper is to characterize each of compact, totally disconnected, Stone relation spaces, and Stone reflexive spaces as well as examine the relationships between them.
💡
Sonuç & Katkı:Finally, we investigate some properties of them and compare our results.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Reflexive spaces · Stone spaces · Total disconnected spaces

Abstract

The goal of this paper is to characterize each of compact, totally disconnected, Stone relation spaces, and Stone reflexive spaces as well as examine the relationships between them. Finally, we investigate some properties of them and compare our results.

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Bu Makaleye Atıf Yap

Baran, M. (2023). A Note on Stone Spaces. Proceedings of International Mathematical Sciences, Volume: 5 Issue: 2. https://doi.org/10.47086/pims.1335900

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Kaynakça (16)

  1. A.V. Arkhangel'skii, V.I. Ponomarev, Fundamentals of General Topology: Problems and Exercises, Reidel (Translated from Russian), (1984).
  2. M. Baran, Separation properties, Indian J. Pure Appl. Math., 23, 333-341, (1991).
  3. M. Baran and H. Altindis, T_2-objects in topological categories, Acta Math. Hungar., 71, 41-48, (1996).
  4. M. Baran, A Notion of compactness in topological categories, Publ. Math. Debrecen, 50, 221-234, (1997).
  5. M. Baran, PreT_2 objects in topological categories, Appl. Categor. Struct., 17, 591-602, (2009).
  6. M. Baran, Separation, connectedness and disconnectedness, Turk J Math, 47, 279-295, (2023).
  7. M. Baran, Stone spaces I, submitted to Filomat.
  8. M. M. Clementino, E. Giuli, W. Tholen, Topology in a category: Compactness, Portugal. Math., 53, 129-143, (1996).
  9. D. Dikranjan, W. Tholen, Categorical Structure of Closure Operators, Dordrecht, Netherlands: Kluwer Academic Publishers, (1995).
  10. R. Engelking, General topology, Heldermann Verlag, Berlin (1989).
  11. H. Herrlich, G. Salicrup, G.E. Strecker, Factorizations, denseness, separation, and relatively compact objects, Topology Appl., 27, 157-169, (1987).
  12. P.T. Johnstone, The Gleason cover of a topos I, J. Pure Appl. Algebra, 19, 171-192, (1980).
  13. P.T. Johnstone, Stone Spaces, Cambridge Univ. Press, (1982).
  14. E.G. Manes, Compact Hausdorff objects, General Topology Appl., 4, 341-360, (1974).
  15. M. H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc., 41, 375-481, (1937).
  16. M.H. Stone, Algebraic characterization of special Boolean rings, Fund. Math., 29, 223-303, (1937).