A stronger form of locally closed set and its homeomorphic image

Jiarul Hoque; Shyamapada Modak

Makale detayları

A stronger form of locally closed set and its homeomorphic image

Yazarlar:

Jiarul Hoque | Shyamapada Modak

Yayıncı:

Ankara University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.73 Issue 1, pp.25-36

Belge Tipi:

Makale

Yayın Tarihi:

3/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001311903

pISSN:

1303-5991

Anahtar kelimeler:

Özet:

 Through this paper, via the operators cdotstar and Psi, we presented notion of star-Locally set in an ideal topological space zeta_mathbbI as a new stronger form of locally closed set, and considered relations with various existing weak form of locally closed set. Preservations of direct images as well as inverse images of cdotstar, Psi, star-perfect and various weak forms of locally closed set including star-Locally closed set are important investigating part. Besides, we pointed out that consideration of bijectivity in Lemma 3.1 of 24 is sufficient, and the Lemma 3.3 of 24 is wrong. We demonstrated two modifications of the last one.

 Through this paper, via the operators cdotstar and Psi, we presented notion of star-Locally set in an ideal topological space zeta_mathbbI as a new stronger form of locally closed set, and considered relations with various existing weak form of locally closed set. Preservations of direct images as well as inverse images of cdotstar, Psi, star-perfect and various weak forms of locally closed set including star-Locally closed set are important investigating part. Besides, we pointed out that consideration of bijectivity in Lemma 3.1 of 24 is sufficient, and the Lemma 3.3 of 24 is wrong. We demonstrated two modifications of the last one.

 Through this paper, via the operators cdotstar and Psi, we presented notion of star-Locally set in an ideal topological space zeta_mathbbI as a new stronger form of locally closed set, and considered relations with various existing weak form of locally closed set. Preservations of direct images as well as inverse images of cdotstar, Psi, star-perfect and various weak forms of locally closed set including star-Locally closed set are important investigating part. Besides, we pointed out that consideration of bijectivity in Lemma 3.1 of 24 is sufficient, and the Lemma 3.3 of 24 is wrong. We demonstrated two modifications of the last one.

 Through this paper, via the operators cdotstar and Psi, we presented notion of star-Locally set in an ideal topological space zeta_mathbbI as a new stronger form of locally closed set, and considered relations with various existing weak form of locally closed set. Preservations of direct images as well as inverse images of cdotstar, Psi, star-perfect and various weak forms of locally closed set including star-Locally closed set are important investigating part. Besides, we pointed out that consideration of bijectivity in Lemma 3.1 of 24 is sufficient, and the Lemma 3.3 of 24 is wrong. We demonstrated two modifications of the last one.

Makale detayları

A stronger form of locally closed set and its homeomorphic image

Yazarlar:

Jiarul Hoque | Shyamapada Modak

Yayıncı:

Ankara University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.73 Issue 1, pp.25-36

Belge Tipi:

Makale

Yayın Tarihi:

3/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001311903

pISSN:

1303-5991

Ideal

local function

$\Psi$-operator

locally closed set

homeomorphism

Sayı

Makale detayları

A stronger form of locally closed set and its homeomorphic image

Yazarlar: Jiarul Hoque | Shyamapada Modak

Yayıncı: Ankara University

Ana Başlıklar: Mathematical Sciences

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.73 Issue 1, pp.25-36

Belge Tipi: Makale

Yayın Tarihi: 3/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001311903

pISSN: 1303-5991

Ideal

local function

$\Psi$-operator

locally closed set

homeomorphism

Sayı

Yazarlar:

Jiarul Hoque | Shyamapada Modak

Yayıncı:

Ankara University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.73 Issue 1, pp.25-36

Belge Tipi:

Makale

Yayın Tarihi:

3/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001311903

pISSN:

1303-5991