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TOPOLOJİK UZAYLARDA HEMEN HEMEN e-SÜREKLİLİK ÜZERİNE

Yıl 2017, Cilt: 5 Sayı: 2, 148 - 160, 31.12.2017

Öz





Bu çalışmanın esas amacı, Ekici tarafından
tanımlanan
hemen hemen



















e-sürekli
fonksiyonların karakterizasyonlarını araştırmak ve bu kavrama ilişkin bazı temel
özellikler elde etmektir. Ayrıca hemen hemen


e-süreklilik
kavramının sadece bazı temel özellikleri değil aynı zamanda literatürde bulunan
diğer birçok fonksiyon tipleri ile aralarındaki ilişkiler incelenmiştir. Dahası
bu kavram ile ayırma aksiyomları arasındaki bazı temel özellikler de araştırılmıştır.



Kaynakça

  • Reference1 Ekici E. On e-open sets, DP*-sets and DPE*-sets and decompositions of continuity. Arab J Sci Eng Sect. A Sci 2008; 2: 269-282.
  • Reference2 Ekici E. New forms of contra continuity. Carpathian J Math 2008; 24(1): 37-45.
  • Reference3 Ekici E. Some generalizatons of almost contra-super-continuity. Filomat 2007; 21(2): 31-44.
  • Reference4 Caldas M, Jafari S. On strongly faint e-continuous functions. Proyecciones J Math 2011; 30(1): 29-41.
  • Reference5 Caldas M. On the faintly e-continuous functions. Sarajevo J Math 2012; 8(20): 159-170.
  • Reference6 Özkoç M, Aslım G. On weakly e-continuous functions. Hacet J Math Stat 2011; 40(6): 781-791.
  • Reference7 Özkoç M, Aslım G. On strongly θ-e-continuous functions. Bull Korean Math Soc 2010; 47(5): 1025-1036.
  • Reference8 Singal MK, Singal AR. Almost-continuous mappings. Yokohama Math J 1968; 16: 63-73.
  • Reference9 Munshi BM, Bassan DS. Almost semi-continuous mappings. Math Student 1981; 49: 239-248.
  • Reference10 Noiri T. Almost α-continuous functions. Kyungpook Math J 1988; 28: 71-77.
  • Reference11 Popa V. Some properties of almost feebly continuous functions. Demonstratio Math 1990; 23: 985-991.
  • Reference12 Nasef AA, Noiri T. Some weak forms of almost continuity. Acta Math Hung 1997; 74: 211-219.
  • Reference13 Keskin A, Noiri T. Almost b-continuous functions. Chaos Soliton Fract 2009; 41: 72-81.
  • Reference14 Stone MH. Applications of the theory of Boolean rings to general topology. Trans Amer Math Soc 1937; 41: 375-381.
  • Reference15 Velicko NV. H-closed topological spaces. Amer Math Soc Transl Ser 2 1968; 78: 103-118.
  • Reference16 Long PE, Herrington LL. The T_θ-topology and faint continuous functions. Kyungpook Math J 1982; 22: 7-14.
  • Reference17 Tong JC. A decomposition of continuity. Acta Math Hung 1986; 48: 11-15.
  • Reference18 Njastad O. On some classes of nearly open sets. Pac J Math 1965; 15: 961-970.
  • Reference19 Levine N. Semi-open sets and semi-continuity in topological spaces. Amer Math Monthly 1963; 70: 36-41.
  • Reference20 Mashhour AS, Abd-El Monsef ME, El-Deep SN. On precontinuous and weak precontinuous functions. Proc Math Phys Soc Egypt 1982; 51: 47-53.
  • Reference21 Andrijevic D. On b-open sets. Mat Vesnik 1996; 48: 59-64.
  • Reference22 El-Atik AA. A study on some types of mappings on topological spaces. MSc, Tanta University, Egypt, 1997.
  • Reference23 Dontchev J, Przemski M. On the various decompositions of continuous and some weakly continuous functions. Acta Math Hung 1996; 71(1-2): 109-120.
  • Reference24 Abd El-Monsef ME, El-Deep SN, Mohmoud RA. β-open sets and β-continuous mappings. Bull Fac Sci Assiut University 1983; 12: 77-90.
  • Reference25 Andrijevic D. Semi-preopen sets. Mat Vesnik 1986; 38: 24-32.
  • Reference26 Noiri T. On δ-continuous functions. J Korean Math Soc 1980; 16: 161-166.
  • Reference27 Carnahan D. Some properties related to compactness in topological spaces. PhD, University of Arkansas, USA, 1973.
  • Reference28 Singal MK, Arya SP. On almost-regular spaces. Glas Mat 1969; 4(24): 89-99.
  • Reference29 Bourbaki N. General Topology, Part I, Hermann, Paris; Addision-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1966.
  • Reference30 Ekici E. Generalization of perfectly continuous, regular set-connected and clopen functions. Acta Math Hung 2005; 107(3): 193-206.

ON ALMOST e-CONTINUITY IN TOPOLOGICAL SPACES

Yıl 2017, Cilt: 5 Sayı: 2, 148 - 160, 31.12.2017

Öz

The main purpose of this study is to investigate the characterizations
of almost




















e-continuous functions defined
by Ekici and to obtain some fundamental properties related to this concept. In
addition, we investigate not only some of its fundamental properties but also
its relations with other types of already existing topological functions. Moreover,
we look into some basic properties between this notion and separation axioms.

Kaynakça

  • Reference1 Ekici E. On e-open sets, DP*-sets and DPE*-sets and decompositions of continuity. Arab J Sci Eng Sect. A Sci 2008; 2: 269-282.
  • Reference2 Ekici E. New forms of contra continuity. Carpathian J Math 2008; 24(1): 37-45.
  • Reference3 Ekici E. Some generalizatons of almost contra-super-continuity. Filomat 2007; 21(2): 31-44.
  • Reference4 Caldas M, Jafari S. On strongly faint e-continuous functions. Proyecciones J Math 2011; 30(1): 29-41.
  • Reference5 Caldas M. On the faintly e-continuous functions. Sarajevo J Math 2012; 8(20): 159-170.
  • Reference6 Özkoç M, Aslım G. On weakly e-continuous functions. Hacet J Math Stat 2011; 40(6): 781-791.
  • Reference7 Özkoç M, Aslım G. On strongly θ-e-continuous functions. Bull Korean Math Soc 2010; 47(5): 1025-1036.
  • Reference8 Singal MK, Singal AR. Almost-continuous mappings. Yokohama Math J 1968; 16: 63-73.
  • Reference9 Munshi BM, Bassan DS. Almost semi-continuous mappings. Math Student 1981; 49: 239-248.
  • Reference10 Noiri T. Almost α-continuous functions. Kyungpook Math J 1988; 28: 71-77.
  • Reference11 Popa V. Some properties of almost feebly continuous functions. Demonstratio Math 1990; 23: 985-991.
  • Reference12 Nasef AA, Noiri T. Some weak forms of almost continuity. Acta Math Hung 1997; 74: 211-219.
  • Reference13 Keskin A, Noiri T. Almost b-continuous functions. Chaos Soliton Fract 2009; 41: 72-81.
  • Reference14 Stone MH. Applications of the theory of Boolean rings to general topology. Trans Amer Math Soc 1937; 41: 375-381.
  • Reference15 Velicko NV. H-closed topological spaces. Amer Math Soc Transl Ser 2 1968; 78: 103-118.
  • Reference16 Long PE, Herrington LL. The T_θ-topology and faint continuous functions. Kyungpook Math J 1982; 22: 7-14.
  • Reference17 Tong JC. A decomposition of continuity. Acta Math Hung 1986; 48: 11-15.
  • Reference18 Njastad O. On some classes of nearly open sets. Pac J Math 1965; 15: 961-970.
  • Reference19 Levine N. Semi-open sets and semi-continuity in topological spaces. Amer Math Monthly 1963; 70: 36-41.
  • Reference20 Mashhour AS, Abd-El Monsef ME, El-Deep SN. On precontinuous and weak precontinuous functions. Proc Math Phys Soc Egypt 1982; 51: 47-53.
  • Reference21 Andrijevic D. On b-open sets. Mat Vesnik 1996; 48: 59-64.
  • Reference22 El-Atik AA. A study on some types of mappings on topological spaces. MSc, Tanta University, Egypt, 1997.
  • Reference23 Dontchev J, Przemski M. On the various decompositions of continuous and some weakly continuous functions. Acta Math Hung 1996; 71(1-2): 109-120.
  • Reference24 Abd El-Monsef ME, El-Deep SN, Mohmoud RA. β-open sets and β-continuous mappings. Bull Fac Sci Assiut University 1983; 12: 77-90.
  • Reference25 Andrijevic D. Semi-preopen sets. Mat Vesnik 1986; 38: 24-32.
  • Reference26 Noiri T. On δ-continuous functions. J Korean Math Soc 1980; 16: 161-166.
  • Reference27 Carnahan D. Some properties related to compactness in topological spaces. PhD, University of Arkansas, USA, 1973.
  • Reference28 Singal MK, Arya SP. On almost-regular spaces. Glas Mat 1969; 4(24): 89-99.
  • Reference29 Bourbaki N. General Topology, Part I, Hermann, Paris; Addision-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1966.
  • Reference30 Ekici E. Generalization of perfectly continuous, regular set-connected and clopen functions. Acta Math Hung 2005; 107(3): 193-206.
Toplam 30 adet kaynakça vardır.

Ayrıntılar

Bölüm Araştırma Makalesi
Yazarlar

Murad Özkoç

Yayımlanma Tarihi 31 Aralık 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 2

Kaynak Göster

APA Özkoç, M. (2017). ON ALMOST e-CONTINUITY IN TOPOLOGICAL SPACES. Anadolu University Journal of Science and Technology B - Theoretical Sciences, 5(2), 148-160. https://doi.org/10.20290/aubtdb.329127
AMA Özkoç M. ON ALMOST e-CONTINUITY IN TOPOLOGICAL SPACES. AUBTD-B. Ekim 2017;5(2):148-160. doi:10.20290/aubtdb.329127
Chicago Özkoç, Murad. “ON ALMOST E-CONTINUITY IN TOPOLOGICAL SPACES”. Anadolu University Journal of Science and Technology B - Theoretical Sciences 5, sy. 2 (Ekim 2017): 148-60. https://doi.org/10.20290/aubtdb.329127.
EndNote Özkoç M (01 Ekim 2017) ON ALMOST e-CONTINUITY IN TOPOLOGICAL SPACES. Anadolu University Journal of Science and Technology B - Theoretical Sciences 5 2 148–160.
IEEE M. Özkoç, “ON ALMOST e-CONTINUITY IN TOPOLOGICAL SPACES”, AUBTD-B, c. 5, sy. 2, ss. 148–160, 2017, doi: 10.20290/aubtdb.329127.
ISNAD Özkoç, Murad. “ON ALMOST E-CONTINUITY IN TOPOLOGICAL SPACES”. Anadolu University Journal of Science and Technology B - Theoretical Sciences 5/2 (Ekim 2017), 148-160. https://doi.org/10.20290/aubtdb.329127.
JAMA Özkoç M. ON ALMOST e-CONTINUITY IN TOPOLOGICAL SPACES. AUBTD-B. 2017;5:148–160.
MLA Özkoç, Murad. “ON ALMOST E-CONTINUITY IN TOPOLOGICAL SPACES”. Anadolu University Journal of Science and Technology B - Theoretical Sciences, c. 5, sy. 2, 2017, ss. 148-60, doi:10.20290/aubtdb.329127.
Vancouver Özkoç M. ON ALMOST e-CONTINUITY IN TOPOLOGICAL SPACES. AUBTD-B. 2017;5(2):148-60.