Characterizations of Hayashi-Samuel Spaces via Boundary Points

Shyamapada Modak; Sk Selim; Md. Monirul Islam

Araştırma Makalesi

Yıl 2019, Cilt: 2 Sayı: 3, 219 - 226, 30.09.2019

Shyamapada Modak Sk Selim Md. Monirul Islam

Öz

Kaynakça

[1] A. Al-Omari, T. Noiri, Local closure functions in ideal topological spaces, Novi Sad J. Math. 43(2) (2013), 139-149.
[2] C. Bandhopadhya, S. Modak, A new topology via y-operator, Proc. Nat. Acad. Sci. India. 76(A), IV, (2006), 317-320.
[3] N. Bourbaki, General Topology, Chapter 1-4, Springer, 1989.
[4] J. Dontchev, Idealization of Ganster-Reilly decomposition theorems, arXIV:math. Gn/9901017v1 [math.GN], 5 Jan 1999.
[5] E. Ekici, A new collection which contains the topology via ideals, Trans. A. Razmadze Math. Inst. 172 (2018), 372-377.
[6] E. Ekici, T. Noiri, Properties of I-submaximal ideal topological spaces, Filomat. 24(4) (2010), 87-94.
[7] E. Ekici, T. Noiri, On subsets and decompositions of continuity in ideal topological spaces, Arab. J. Sci. Eng. 34(1A) (2009), 165-177.
[8] T. R. Hamlett, D. Jankovi ´ c, Ideals in Topological Spaces and the Set Operator Y , Bollettino U. M. I. 7(4-B) (1990), 863-874.
[9] H. Hashimoto, On the -topology and its applications, Fund. Math. 91 (1976), 5-10.
[10] E. Hatir, T. Noiri, On decompositions of continuity via idealzaton, Acta Math. Hungar. 96 (2002), 341-349.
[11] E. Hayashi, Topologies defined by local properties, Math. Ann. 156 (1964), 205-215.
[12] Md. M. Islam, S. Modak, Operator associated with the and Y operators, Journal of Taibah University for Science, 12(4) (2018), 444-449.
[13] D. Jankovi ´ c, T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly. 97 (1990), 295-310.
[14] K. Kuratowski, Topology, Vol. I, Academic Press, New York, 1966.
[15] S. Modak, Minimal spaces with a mathematical structure, J. Assoc. Arab Univ. Basic Appl. Sci. 22 (2017), 98-101.
[16] S. Modak, Some new topologies on ideal topological spaces, Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 82(3) (2012), 233-243. [17] S. Modak, C. Bandyopadhyay, A note on y-operator, Bull. Malays. Math. Sci. Soc. 30(1) (2007), 43-48.
[18] S. Modak, C. Bandyopadhyaya, Ideals and some nearly open sets, Soochow J. Math. 32(4) (2006), 541-551.
[19] S. Modak, C. Bandyopadhyay, -topology and generalized open sets, Soochow J. Math. 32(2) (2006), 201-210.
[20] S. Modak, B. Garai, S. Modak, Remarks on ideal M-space, Anal. Univ. Oradea Fasc. Mat. Tom. XIX(1) (2012), 207-215.
[21] S. Modak, Md. M. Islam, On and Y operators in topological spaces with ideals, Trans. A. Razmadze Math. Inst. 172 (2018), 491-497.
[22] S. Modak, Md. M. Islam, New form of Njastad’s a-set and Levine’s semi-open set, J. Chung. Math. Soc. 30(2) (2017), 165-175.
[23] S. Modak, Md. M. Islam, More on a-topological space, Commun. Fac. Sci. Univ. Ankara Series A1: Math. and Stat. 66(2) (2017), 323-331.
[24] S. Modak, T. Noiri, Connectedness of Ideal Topological Spaces, Filomat. 29(4) (2015), 661-665.
[25] T. Natkaniec, On I-continuity and I-semicontinuity points, Math. Slovaca. 36(3) (1986), 297-312.
[26] A. Pavlovi ´ c, Local Function versus Local Closure Function in Ideal Topological Spaces, Filomat. 30(14) (2016), 3725-3731. [27] R. Vaidyanathswamy, Set topology, Chelsea Publishing Co., New York, 1960.
[28] P. Samuel, A topology formed from a given topology and ideal, J. London Math. Soc. 10 (1975), 409-416.

Characterizations of Hayashi-Samuel Spaces via Boundary Points

Yıl 2019, Cilt: 2 Sayı: 3, 219 - 226, 30.09.2019

Shyamapada Modak Sk Selim Md. Monirul Islam

Öz

Some new closure operators in topological spaces with ideals are a part of this paper. A comparative study of a new type of boundary point, which is defined with the help of the local function and the boundary points will be discussed through this paper. Characterizations of Hayashi-Samuel spaces are also an object of this paper.

Anahtar Kelimeler

Ideal topological space, Hayashi-Samuel, local function, \psi-operator

Kaynakça

[1] A. Al-Omari, T. Noiri, Local closure functions in ideal topological spaces, Novi Sad J. Math. 43(2) (2013), 139-149.
[2] C. Bandhopadhya, S. Modak, A new topology via y-operator, Proc. Nat. Acad. Sci. India. 76(A), IV, (2006), 317-320.
[3] N. Bourbaki, General Topology, Chapter 1-4, Springer, 1989.
[4] J. Dontchev, Idealization of Ganster-Reilly decomposition theorems, arXIV:math. Gn/9901017v1 [math.GN], 5 Jan 1999.
[5] E. Ekici, A new collection which contains the topology via ideals, Trans. A. Razmadze Math. Inst. 172 (2018), 372-377.
[6] E. Ekici, T. Noiri, Properties of I-submaximal ideal topological spaces, Filomat. 24(4) (2010), 87-94.
[7] E. Ekici, T. Noiri, On subsets and decompositions of continuity in ideal topological spaces, Arab. J. Sci. Eng. 34(1A) (2009), 165-177.
[8] T. R. Hamlett, D. Jankovi ´ c, Ideals in Topological Spaces and the Set Operator Y , Bollettino U. M. I. 7(4-B) (1990), 863-874.
[9] H. Hashimoto, On the -topology and its applications, Fund. Math. 91 (1976), 5-10.
[10] E. Hatir, T. Noiri, On decompositions of continuity via idealzaton, Acta Math. Hungar. 96 (2002), 341-349.
[11] E. Hayashi, Topologies defined by local properties, Math. Ann. 156 (1964), 205-215.
[12] Md. M. Islam, S. Modak, Operator associated with the and Y operators, Journal of Taibah University for Science, 12(4) (2018), 444-449.
[13] D. Jankovi ´ c, T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly. 97 (1990), 295-310.
[14] K. Kuratowski, Topology, Vol. I, Academic Press, New York, 1966.
[15] S. Modak, Minimal spaces with a mathematical structure, J. Assoc. Arab Univ. Basic Appl. Sci. 22 (2017), 98-101.
[16] S. Modak, Some new topologies on ideal topological spaces, Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 82(3) (2012), 233-243. [17] S. Modak, C. Bandyopadhyay, A note on y-operator, Bull. Malays. Math. Sci. Soc. 30(1) (2007), 43-48.
[18] S. Modak, C. Bandyopadhyaya, Ideals and some nearly open sets, Soochow J. Math. 32(4) (2006), 541-551.
[19] S. Modak, C. Bandyopadhyay, -topology and generalized open sets, Soochow J. Math. 32(2) (2006), 201-210.
[20] S. Modak, B. Garai, S. Modak, Remarks on ideal M-space, Anal. Univ. Oradea Fasc. Mat. Tom. XIX(1) (2012), 207-215.
[21] S. Modak, Md. M. Islam, On and Y operators in topological spaces with ideals, Trans. A. Razmadze Math. Inst. 172 (2018), 491-497.
[22] S. Modak, Md. M. Islam, New form of Njastad’s a-set and Levine’s semi-open set, J. Chung. Math. Soc. 30(2) (2017), 165-175.
[23] S. Modak, Md. M. Islam, More on a-topological space, Commun. Fac. Sci. Univ. Ankara Series A1: Math. and Stat. 66(2) (2017), 323-331.
[24] S. Modak, T. Noiri, Connectedness of Ideal Topological Spaces, Filomat. 29(4) (2015), 661-665.
[25] T. Natkaniec, On I-continuity and I-semicontinuity points, Math. Slovaca. 36(3) (1986), 297-312.
[26] A. Pavlovi ´ c, Local Function versus Local Closure Function in Ideal Topological Spaces, Filomat. 30(14) (2016), 3725-3731. [27] R. Vaidyanathswamy, Set topology, Chelsea Publishing Co., New York, 1960.
[28] P. Samuel, A topology formed from a given topology and ideal, J. London Math. Soc. 10 (1975), 409-416.

Toplam 26 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Konular	Matematik
Bölüm	Articles
Yazarlar	Shyamapada Modak 0000-0002-0226-2392 Sk Selim Bu kişi benim 0000-0002-4226-2004 Md. Monirul Islam 0000-0003-4748-4690
Yayımlanma Tarihi	30 Eylül 2019
Gönderilme Tarihi	29 Mart 2019
Kabul Tarihi	1 Ağustos 2019
Yayımlandığı Sayı	Yıl 2019 Cilt: 2 Sayı: 3

Kaynak Göster

APA	Modak, S., Selim, S., & Islam, M. M. (2019). Characterizations of Hayashi-Samuel Spaces via Boundary Points. Communications in Advanced Mathematical Sciences, 2(3), 219-226.
AMA	Modak S, Selim S, Islam MM. Characterizations of Hayashi-Samuel Spaces via Boundary Points. Communications in Advanced Mathematical Sciences. Eylül 2019;2(3):219-226.
Chicago	Modak, Shyamapada, Sk Selim, ve Md. Monirul Islam. “Characterizations of Hayashi-Samuel Spaces via Boundary Points”. Communications in Advanced Mathematical Sciences 2, sy. 3 (Eylül 2019): 219-26.
EndNote	Modak S, Selim S, Islam MM (01 Eylül 2019) Characterizations of Hayashi-Samuel Spaces via Boundary Points. Communications in Advanced Mathematical Sciences 2 3 219–226.
IEEE	S. Modak, S. Selim, ve M. M. Islam, “Characterizations of Hayashi-Samuel Spaces via Boundary Points”, Communications in Advanced Mathematical Sciences, c. 2, sy. 3, ss. 219–226, 2019.
ISNAD	Modak, Shyamapada vd. “Characterizations of Hayashi-Samuel Spaces via Boundary Points”. Communications in Advanced Mathematical Sciences 2/3 (Eylül 2019), 219-226.
JAMA	Modak S, Selim S, Islam MM. Characterizations of Hayashi-Samuel Spaces via Boundary Points. Communications in Advanced Mathematical Sciences. 2019;2:219–226.
MLA	Modak, Shyamapada vd. “Characterizations of Hayashi-Samuel Spaces via Boundary Points”. Communications in Advanced Mathematical Sciences, c. 2, sy. 3, 2019, ss. 219-26.
Vancouver	Modak S, Selim S, Islam MM. Characterizations of Hayashi-Samuel Spaces via Boundary Points. Communications in Advanced Mathematical Sciences. 2019;2(3):219-26.

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