BibTex RIS Kaynak Göster
Yıl 2007, Cilt: 56 Sayı: 1, 33 - 40, 01.02.2007
https://doi.org/10.1501/Commua1_0000000195

Öz

Kaynakça

  • M. E. Abd El-Monsef, E. F. Lashien and A. A. Nasef, On I-open sets and I-continuous functions, Kyungpook Math. J. , 32(1) (1992), 21-30.
  • M. E. Abd El-Monsef, R. A. Mahmoud and A. A. Nasef, Almost I-openness and almost I-continuity, J. Egypt. Math. Soc. ,7(2)(1999), 191-200.
  • J. Dontchev, On Hausdorğ spaces via topological ideals and I-irresolute functions, Annals of the New York Academy of Sciences, Papers on General Topology and Applications, Vol. 767 (1995), 28-38.
  • J. Dontchev, On pre-I-open sets and a decomposition of I-continuity, Banyan Math. J., 2 (1996).
  • J. Dontchev, M. Ganster and D. Rose, Ideal resolvability, Topology Appl., 93 (1999), 1-16.
  • J. Dontchev, M. Ganster and T. Noiri, Uni…ed operation approach of generalized closed sets via topological ideals, Math. Japon., 49 (1999), 395-401.
  • E. Hatir and T. Noiri, On decomposition of continuity via idealization, Acta Math. Hungar., 96 (4)(2002) , 341-349.
  • E. Hatir, A. Keskin and T. Noiri, On a new decomposition of continuity via idealization, JP J. Geometry&Topology, 1(3)(2003), 53-64.
  • E. Hayashi, Topologies de…ned by local properties, Math. Ann., 156 (1964), 205-215.
  • D. Jankovi´c and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97 (1990), 295-310.
  • J. Kelley, General Topology, D. Van Nostrand Co. Inc., Princeton, New Jersey, 1955.
  • K. Kuratowski, Topology, Vol.I, Academic Press, New York, 1966.
  • A.S.Mashhour, M.E.Abd-El Monsef and S.N.El-Deep, On precontinuous and weak precon
  • tinuous mappings, Proc. Math. Phys. Soc. Egypt, 53 (1982), 47-53.
  • Current address : Aynur KESKIN,Selcuk University, Department of Mathematics, 42075 Campus
  • Konya TURKEY, Sazıye YUKSEL, Selcuk University, Department of Mathematics, 42031 Campus
  • Konya TURKEY, Takashi NOIRI,2949-1 Shiokita-cho, Hinagu Yatsushiro-shi, Kumamoto-ken 869-5142 JAPAN E-mail address : akeskin@email.selcuk.edu.tr, syuksel@selcuk.edu.tr, t.noiri@nifty.com

ON /-EXTREMALLY DISCONNECTED SPACES

Yıl 2007, Cilt: 56 Sayı: 1, 33 - 40, 01.02.2007
https://doi.org/10.1501/Commua1_0000000195

Öz

Abstract. We have introduced and investigated the notion of I-extremal disconnectedness on ideal topological spaces. First, we found that the notions of
extremal disconnectedness and I-extremal disconnectedness are independent
of each other. About the letter one, we observed that every open subset of
an I-extremally disconnected space is also an I-extremally disconnected space.
And also, in extremally disconnectedness spaces we have shown that I-open
set is equivalent almost I-open and every -I-open set is preopen. Finally,
we have shown that B-I-continuity( resp. pre-I-continuity, I-continuity ) is
equivalent to semi-I-continuity( resp. strongly -I-continuity, almost strongly
I-continuity ) if the domain is I-exteremally disconnected

Kaynakça

  • M. E. Abd El-Monsef, E. F. Lashien and A. A. Nasef, On I-open sets and I-continuous functions, Kyungpook Math. J. , 32(1) (1992), 21-30.
  • M. E. Abd El-Monsef, R. A. Mahmoud and A. A. Nasef, Almost I-openness and almost I-continuity, J. Egypt. Math. Soc. ,7(2)(1999), 191-200.
  • J. Dontchev, On Hausdorğ spaces via topological ideals and I-irresolute functions, Annals of the New York Academy of Sciences, Papers on General Topology and Applications, Vol. 767 (1995), 28-38.
  • J. Dontchev, On pre-I-open sets and a decomposition of I-continuity, Banyan Math. J., 2 (1996).
  • J. Dontchev, M. Ganster and D. Rose, Ideal resolvability, Topology Appl., 93 (1999), 1-16.
  • J. Dontchev, M. Ganster and T. Noiri, Uni…ed operation approach of generalized closed sets via topological ideals, Math. Japon., 49 (1999), 395-401.
  • E. Hatir and T. Noiri, On decomposition of continuity via idealization, Acta Math. Hungar., 96 (4)(2002) , 341-349.
  • E. Hatir, A. Keskin and T. Noiri, On a new decomposition of continuity via idealization, JP J. Geometry&Topology, 1(3)(2003), 53-64.
  • E. Hayashi, Topologies de…ned by local properties, Math. Ann., 156 (1964), 205-215.
  • D. Jankovi´c and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97 (1990), 295-310.
  • J. Kelley, General Topology, D. Van Nostrand Co. Inc., Princeton, New Jersey, 1955.
  • K. Kuratowski, Topology, Vol.I, Academic Press, New York, 1966.
  • A.S.Mashhour, M.E.Abd-El Monsef and S.N.El-Deep, On precontinuous and weak precon
  • tinuous mappings, Proc. Math. Phys. Soc. Egypt, 53 (1982), 47-53.
  • Current address : Aynur KESKIN,Selcuk University, Department of Mathematics, 42075 Campus
  • Konya TURKEY, Sazıye YUKSEL, Selcuk University, Department of Mathematics, 42031 Campus
  • Konya TURKEY, Takashi NOIRI,2949-1 Shiokita-cho, Hinagu Yatsushiro-shi, Kumamoto-ken 869-5142 JAPAN E-mail address : akeskin@email.selcuk.edu.tr, syuksel@selcuk.edu.tr, t.noiri@nifty.com
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Aynur Keskin Bu kişi benim

Şaziye Yüksel Bu kişi benim

Takashi Noırı Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2007
Yayımlandığı Sayı Yıl 2007 Cilt: 56 Sayı: 1

Kaynak Göster

APA Keskin, A., Yüksel, Ş., & Noırı, T. (2007). ON /-EXTREMALLY DISCONNECTED SPACES. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 56(1), 33-40. https://doi.org/10.1501/Commua1_0000000195
AMA Keskin A, Yüksel Ş, Noırı T. ON /-EXTREMALLY DISCONNECTED SPACES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Şubat 2007;56(1):33-40. doi:10.1501/Commua1_0000000195
Chicago Keskin, Aynur, Şaziye Yüksel, ve Takashi Noırı. “ON /-EXTREMALLY DISCONNECTED SPACES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 56, sy. 1 (Şubat 2007): 33-40. https://doi.org/10.1501/Commua1_0000000195.
EndNote Keskin A, Yüksel Ş, Noırı T (01 Şubat 2007) ON /-EXTREMALLY DISCONNECTED SPACES. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 56 1 33–40.
IEEE A. Keskin, Ş. Yüksel, ve T. Noırı, “ON /-EXTREMALLY DISCONNECTED SPACES”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 56, sy. 1, ss. 33–40, 2007, doi: 10.1501/Commua1_0000000195.
ISNAD Keskin, Aynur vd. “ON /-EXTREMALLY DISCONNECTED SPACES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 56/1 (Şubat 2007), 33-40. https://doi.org/10.1501/Commua1_0000000195.
JAMA Keskin A, Yüksel Ş, Noırı T. ON /-EXTREMALLY DISCONNECTED SPACES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2007;56:33–40.
MLA Keskin, Aynur vd. “ON /-EXTREMALLY DISCONNECTED SPACES”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 56, sy. 1, 2007, ss. 33-40, doi:10.1501/Commua1_0000000195.
Vancouver Keskin A, Yüksel Ş, Noırı T. ON /-EXTREMALLY DISCONNECTED SPACES. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2007;56(1):33-40.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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