Araştırma Makalesi
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Bδg-Homeomorphisms

Yıl 2018, Sayı: 25, 50 - 58, 06.10.2018

Öz

In this paper we introduce two new classes of mappings called Bδg-homeomorphism and Bδgc-homeomorphism which are defined using Bδg-closed sets and study their basic properties. We also investigate its group structure of their subgroups. We also investigate its relationship with other types of mappings.

Kaynakça

  • [1] Arya S. P. and Nour T., "Characterizations of S-normal spaces", Indian J. Pure. Appl. Math., 21(8)(1990), 717-719.
  • [2] Devi R., Balachandran K. and Maki H., "On generalized-continuous and generalized continuous functions", For East J. Math Sci. Special Volume, Part I (1997), 1-15.
  • [3] Dontchev J., "Contra-continuous functions and strongly S-closed spaces", International J. Math. Sci. 19 (1996), 303-310.
  • [4] Dontchev J. and Ganster M., "On -generalized closed sets and T3=4-spaces", Mem. Fac. Sci. Kochi Univ. Ser. A, Math., 17 (1996), 15-31.
  • [5] Dontchev J, Noiri T, "Contra-semi-continuous functions", Math. Pannonica 10 (1999), 159-168.
  • [6] Ganster M., Reilly I. L., "Locally closed sets and alc-continuous functions", Internat. J. Math. Sci. 3 (1989), 417-424.
  • [7] Lellis T. M., Meera D. B. and Hatir E., bg-closed sets in Topological spaces", Gem. Math. Notes, Vol 1, No.2, (2010), 17-25.
  • [8] Lellis T. M., Meera D. B., "Some new class of generalised continuous functions "Proceedings of the ICMCS2011, 431-434.
  • [9] Lellis T. M., Meera D. B., "Notes On Homeomorphisms Via bg-Sets." Journal of Advanced Studies in Topology, Vol.2, No.1 (2011), 34-40.
  • [10] Lellis T. M., Meera D. B., "Notes on contra via bg-continuous functions", Bol. Soc. Paran. Mat Vol. 30 No.2, (2012), 109-116.
  • [11] Levine N., "Semi-open sets and semi-continuity in topological spaces", Amer. Math. Monthly, 70 (1963), 36-41.
  • [12] Levine N., "Generalized closed sets in Topology", Rend. Circ. Math. Palermo, 19 (2) (1970), 89-96.
  • [13] Maki H., Devi R. and Balachandran K., "Associated topologies of generalized -closed sets and ®-generalized closed sets", Mem. Fac. Sci. Kochi Univ. Ser. A. Math., 15 (1994), 57-63.
  • [14] Mashhour, A. S., Abd El-Monsef, M. E. and El-Debb. S. N., "On precontinuous and weak precontinuous mappings", Proc. Math. and Phys. Soc. Egypt 55 (1982), 47-53.
  • [15] Malghan S. R., "Generalized closed maps", J. Karnatak Univ. Sci., 27(1982), 82-88.
  • [16] Meera D. B., "Investigation of some new class of weak open sets in general Topology" PhD Thesis, Madurai Kamaraj University, Madurai (2012).
  • [17] Munkres J. R., "Topology, A first course", Fourteenth Indian Reprint.
  • [18] Njastad O., "On some classes of nearly open sets", Pacific. J. Math. 15(1965), 961-970.
  • [19] Noiri T., "Super-continuity and some strong forms of continuity ", Indian J. Pure. Appl Math., 15 (1984), 241-150.
  • [20] Noiri T., "On continuous functions", J. Korean Math. Soc. 18 (1980), 161-166.
  • [21] Ravi O., Lellis T. M., Balakrishnan M., "Quotient functions related Ekici's a-open sets", Antarctica Journal of Mathematics, 7 (1) (2010), 111-121.
  • [22] Starum R., "The algebra of bounded continuous functions into a nonarchime-dianeld", Paci¯c J. Math, 50(1974), 169-185.
  • [23] Tong J., "On Decomposition of continuity in topological spaces", Acta Math. Hungar, 54 (12) (1989), 51-55.
  • [24] Veera K. M. K. R. S., "bg-closed sets in topological spaces", Bull. Allah. Math. Soc., 18 (2003), 99-112.
  • [25] Velicko N. V., "H-closed topological spaces", Amer. Math. Soc. Transl., 78 (1968), 103-118.
Yıl 2018, Sayı: 25, 50 - 58, 06.10.2018

Öz

Kaynakça

  • [1] Arya S. P. and Nour T., "Characterizations of S-normal spaces", Indian J. Pure. Appl. Math., 21(8)(1990), 717-719.
  • [2] Devi R., Balachandran K. and Maki H., "On generalized-continuous and generalized continuous functions", For East J. Math Sci. Special Volume, Part I (1997), 1-15.
  • [3] Dontchev J., "Contra-continuous functions and strongly S-closed spaces", International J. Math. Sci. 19 (1996), 303-310.
  • [4] Dontchev J. and Ganster M., "On -generalized closed sets and T3=4-spaces", Mem. Fac. Sci. Kochi Univ. Ser. A, Math., 17 (1996), 15-31.
  • [5] Dontchev J, Noiri T, "Contra-semi-continuous functions", Math. Pannonica 10 (1999), 159-168.
  • [6] Ganster M., Reilly I. L., "Locally closed sets and alc-continuous functions", Internat. J. Math. Sci. 3 (1989), 417-424.
  • [7] Lellis T. M., Meera D. B. and Hatir E., bg-closed sets in Topological spaces", Gem. Math. Notes, Vol 1, No.2, (2010), 17-25.
  • [8] Lellis T. M., Meera D. B., "Some new class of generalised continuous functions "Proceedings of the ICMCS2011, 431-434.
  • [9] Lellis T. M., Meera D. B., "Notes On Homeomorphisms Via bg-Sets." Journal of Advanced Studies in Topology, Vol.2, No.1 (2011), 34-40.
  • [10] Lellis T. M., Meera D. B., "Notes on contra via bg-continuous functions", Bol. Soc. Paran. Mat Vol. 30 No.2, (2012), 109-116.
  • [11] Levine N., "Semi-open sets and semi-continuity in topological spaces", Amer. Math. Monthly, 70 (1963), 36-41.
  • [12] Levine N., "Generalized closed sets in Topology", Rend. Circ. Math. Palermo, 19 (2) (1970), 89-96.
  • [13] Maki H., Devi R. and Balachandran K., "Associated topologies of generalized -closed sets and ®-generalized closed sets", Mem. Fac. Sci. Kochi Univ. Ser. A. Math., 15 (1994), 57-63.
  • [14] Mashhour, A. S., Abd El-Monsef, M. E. and El-Debb. S. N., "On precontinuous and weak precontinuous mappings", Proc. Math. and Phys. Soc. Egypt 55 (1982), 47-53.
  • [15] Malghan S. R., "Generalized closed maps", J. Karnatak Univ. Sci., 27(1982), 82-88.
  • [16] Meera D. B., "Investigation of some new class of weak open sets in general Topology" PhD Thesis, Madurai Kamaraj University, Madurai (2012).
  • [17] Munkres J. R., "Topology, A first course", Fourteenth Indian Reprint.
  • [18] Njastad O., "On some classes of nearly open sets", Pacific. J. Math. 15(1965), 961-970.
  • [19] Noiri T., "Super-continuity and some strong forms of continuity ", Indian J. Pure. Appl Math., 15 (1984), 241-150.
  • [20] Noiri T., "On continuous functions", J. Korean Math. Soc. 18 (1980), 161-166.
  • [21] Ravi O., Lellis T. M., Balakrishnan M., "Quotient functions related Ekici's a-open sets", Antarctica Journal of Mathematics, 7 (1) (2010), 111-121.
  • [22] Starum R., "The algebra of bounded continuous functions into a nonarchime-dianeld", Paci¯c J. Math, 50(1974), 169-185.
  • [23] Tong J., "On Decomposition of continuity in topological spaces", Acta Math. Hungar, 54 (12) (1989), 51-55.
  • [24] Veera K. M. K. R. S., "bg-closed sets in topological spaces", Bull. Allah. Math. Soc., 18 (2003), 99-112.
  • [25] Velicko N. V., "H-closed topological spaces", Amer. Math. Soc. Transl., 78 (1968), 103-118.
Toplam 25 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Jeyasingh Juliet Jeyapackiam Bu kişi benim

Alwyn Asir Bu kişi benim

Yayımlanma Tarihi 6 Ekim 2018
Gönderilme Tarihi 19 Nisan 2018
Yayımlandığı Sayı Yıl 2018 Sayı: 25

Kaynak Göster

APA Jeyapackiam, J. J., & Asir, A. (2018). Bδg-Homeomorphisms. Journal of New Theory(25), 50-58.
AMA Jeyapackiam JJ, Asir A. Bδg-Homeomorphisms. JNT. Ekim 2018;(25):50-58.
Chicago Jeyapackiam, Jeyasingh Juliet, ve Alwyn Asir. “BδG-Homeomorphisms”. Journal of New Theory, sy. 25 (Ekim 2018): 50-58.
EndNote Jeyapackiam JJ, Asir A (01 Ekim 2018) Bδg-Homeomorphisms. Journal of New Theory 25 50–58.
IEEE J. J. Jeyapackiam ve A. Asir, “Bδg-Homeomorphisms”, JNT, sy. 25, ss. 50–58, Ekim 2018.
ISNAD Jeyapackiam, Jeyasingh Juliet - Asir, Alwyn. “BδG-Homeomorphisms”. Journal of New Theory 25 (Ekim 2018), 50-58.
JAMA Jeyapackiam JJ, Asir A. Bδg-Homeomorphisms. JNT. 2018;:50–58.
MLA Jeyapackiam, Jeyasingh Juliet ve Alwyn Asir. “BδG-Homeomorphisms”. Journal of New Theory, sy. 25, 2018, ss. 50-58.
Vancouver Jeyapackiam JJ, Asir A. Bδg-Homeomorphisms. JNT. 2018(25):50-8.


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