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Topolojik Uzaylarda Süreklilik Çeşitleri Üzerine

Year 2005, Volume: 1 Issue: 26, 43 - 50, 01.06.2005
https://izlik.org/JA64DK42UD

Abstract

Bu derlemede; ()τ,X , ( )ϕ,Y topolojik uzaylar ve ),(),(: ϕτ YXf → herhangi bir fonksiyon olmak üzere, öncelikle süreklilik, w.c., w*.c., a.c.H. süreklilik ve a.c.S. süreklilik tanımları ve bu süreklilik çeşitleri arasındaki bağlantılar incelenmiştir. Daha sonra Baire uzayları üzerine Frolik Z. ve Çiçek M. tarafından elde edilen sonuçlar incelenerek yorumlanmıştır.

References

  • Levine N. “A decomposition of continuity in topological spaces”, Amer. Math. Monthly, 68, pp.44-46, (1961).
  • Singal M. K., Singal A. R. “Almost continious mappings”, Yokohama Math. Journal, 16, pp.63-73, (1968). Husain
  • T. “Almost continious mappings”, Prace Math. 10, pp.1-7, (1966).
  • Long P. E., Carnahan D. A. “Comparing almost continious functions”, Proceedings of the American Math. Soc., Volume 38, no.2, 1973. Noiri
  • T. “Between continuity and weakly continuity”, Boll Un. Mat. Italy, 9, pp.647-654, (1974). Yüksel
  • Ş. “Genel Topoloji”, Selçuk Üniversitesi Yayınları, Konya, (1995).
  • Long P. E. “Almost continious functions”, Proceedings of the American Math. Soc., (1969)
  • Levine N. “Semi-open and semi continuity in topological spaces”, Amer. Math. Monthly, 70, pp.36-41, (1963).
  • Frolik Z. “A note on C(P) and Baire sets in compact and metrizable spaces”, Bull. Acad. Polon. Sc., t.15, pp. 779–784 (1967).
  • Çiçek M. “On the Baire Spaces”, Ankara Ün. Yayınları, (1991).

On The Types of Continuity in the Topological Spaces

Year 2005, Volume: 1 Issue: 26, 43 - 50, 01.06.2005
https://izlik.org/JA64DK42UD

Abstract

In this review; firstly the definitions of continuity, w.c., w*.c., a.c.H. continuity and a.c.S. continuity and the relations among the types of continuity were investigated, where ( ) X,τ , (Y,ϕ) ),(),(: are the topological spaces and τ → YXf ϕ is any function. Then the results obtained by Frolik Z. and Çiçek M. about Baire spaces were investigated and interpreted.

References

  • Levine N. “A decomposition of continuity in topological spaces”, Amer. Math. Monthly, 68, pp.44-46, (1961).
  • Singal M. K., Singal A. R. “Almost continious mappings”, Yokohama Math. Journal, 16, pp.63-73, (1968). Husain
  • T. “Almost continious mappings”, Prace Math. 10, pp.1-7, (1966).
  • Long P. E., Carnahan D. A. “Comparing almost continious functions”, Proceedings of the American Math. Soc., Volume 38, no.2, 1973. Noiri
  • T. “Between continuity and weakly continuity”, Boll Un. Mat. Italy, 9, pp.647-654, (1974). Yüksel
  • Ş. “Genel Topoloji”, Selçuk Üniversitesi Yayınları, Konya, (1995).
  • Long P. E. “Almost continious functions”, Proceedings of the American Math. Soc., (1969)
  • Levine N. “Semi-open and semi continuity in topological spaces”, Amer. Math. Monthly, 70, pp.36-41, (1963).
  • Frolik Z. “A note on C(P) and Baire sets in compact and metrizable spaces”, Bull. Acad. Polon. Sc., t.15, pp. 779–784 (1967).
  • Çiçek M. “On the Baire Spaces”, Ankara Ün. Yayınları, (1991).
There are 10 citations in total.

Details

Other ID JA58KE28CV
Authors

Kemal Uslu This is me

Şaziye Yüksel This is me

Submission Date June 1, 2005
Publication Date June 1, 2005
IZ https://izlik.org/JA64DK42UD
Published in Issue Year 2005 Volume: 1 Issue: 26

Cite

APA Uslu, K., & Yüksel, Ş. (2005). On The Types of Continuity in the Topological Spaces. Selcuk University Journal of Science Faculty, 1(26), 43-50. https://izlik.org/JA64DK42UD
AMA 1.Uslu K, Yüksel Ş. On The Types of Continuity in the Topological Spaces. Selcuk University Journal of Science Faculty. 2005;1(26):43-50. https://izlik.org/JA64DK42UD
Chicago Uslu, Kemal, and Şaziye Yüksel. 2005. “On The Types of Continuity in the Topological Spaces”. Selcuk University Journal of Science Faculty 1 (26): 43-50. https://izlik.org/JA64DK42UD.
EndNote Uslu K, Yüksel Ş (June 1, 2005) On The Types of Continuity in the Topological Spaces. Selcuk University Journal of Science Faculty 1 26 43–50.
IEEE [1]K. Uslu and Ş. Yüksel, “On The Types of Continuity in the Topological Spaces”, Selcuk University Journal of Science Faculty, vol. 1, no. 26, pp. 43–50, June 2005, [Online]. Available: https://izlik.org/JA64DK42UD
ISNAD Uslu, Kemal - Yüksel, Şaziye. “On The Types of Continuity in the Topological Spaces”. Selcuk University Journal of Science Faculty 1/26 (June 1, 2005): 43-50. https://izlik.org/JA64DK42UD.
JAMA 1.Uslu K, Yüksel Ş. On The Types of Continuity in the Topological Spaces. Selcuk University Journal of Science Faculty. 2005;1:43–50.
MLA Uslu, Kemal, and Şaziye Yüksel. “On The Types of Continuity in the Topological Spaces”. Selcuk University Journal of Science Faculty, vol. 1, no. 26, June 2005, pp. 43-50, https://izlik.org/JA64DK42UD.
Vancouver 1.Uslu K, Yüksel Ş. On The Types of Continuity in the Topological Spaces. Selcuk University Journal of Science Faculty [Internet]. 2005 June 1;1(26):43-50. Available from: https://izlik.org/JA64DK42UD

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Selcuk University Journal of Science Faculty accepts articles in Turkish and English with original results in basic sciences and other applied sciences. The journal may also include compilations containing current innovations.

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