On $T_1$-reflection of topological spaces

Sami Lazaar; Abdelwaheb Mhemdi; Tareq Al-shami; Hadjer Okbani

Makale detayları

On $T_1$-reflection of topological spaces

Yazarlar:

Sami Lazaar | Abdelwaheb Mhemdi | Tareq Al-shami | Hadjer Okbani

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 2, pp.398-409

Belge Tipi:

Makale

Yayın Tarihi:

3/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001286631

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 This paper deals with some universal spaces. For every topological space X, the universal T_1 space is viewed as the bottom element of the lattice mathcalL_X. The class of morphisms in mathrmmathbfTop orthogonal to all T_1 spaces is characterized. Also, we introduce some new separation axioms and characterize them. Moreover, we characterize topological spaces X for which the universal T_1 space associated with X is a spectral space. Finally, we give some characterizations of topological spaces such that their T_1-reflection are compact spaces.

 This paper deals with some universal spaces. For every topological space X, the universal T_1 space is viewed as the bottom element of the lattice mathcalL_X. The class of morphisms in mathrmmathbfTop orthogonal to all T_1 spaces is characterized. Also, we introduce some new separation axioms and characterize them. Moreover, we characterize topological spaces X for which the universal T_1 space associated with X is a spectral space. Finally, we give some characterizations of topological spaces such that their T_1-reflection are compact spaces.

 This paper deals with some universal spaces. For every topological space X, the universal T_1 space is viewed as the bottom element of the lattice mathcalL_X. The class of morphisms in mathrmmathbfTop orthogonal to all T_1 spaces is characterized. Also, we introduce some new separation axioms and characterize them. Moreover, we characterize topological spaces X for which the universal T_1 space associated with X is a spectral space. Finally, we give some characterizations of topological spaces such that their T_1-reflection are compact spaces.

 This paper deals with some universal spaces. For every topological space X, the universal T_1 space is viewed as the bottom element of the lattice mathcalL_X. The class of morphisms in mathrmmathbfTop orthogonal to all T_1 spaces is characterized. Also, we introduce some new separation axioms and characterize them. Moreover, we characterize topological spaces X for which the universal T_1 space associated with X is a spectral space. Finally, we give some characterizations of topological spaces such that their T_1-reflection are compact spaces.

Makale detayları

On $T_1$-reflection of topological spaces

Yazarlar:

Sami Lazaar | Abdelwaheb Mhemdi | Tareq Al-shami | Hadjer Okbani

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 2, pp.398-409

Belge Tipi:

Makale

Yayın Tarihi:

3/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001286631

pISSN:

2651-477X

spaces

separation axioms

lattice

spectral spaces

Sayı

Makale detayları

On $T_1$-reflection of topological spaces

Yazarlar: Sami Lazaar | Abdelwaheb Mhemdi | Tareq Al-shami | Hadjer Okbani

Yayıncı: Hacettepe University

Ana Başlıklar: Mathematical Sciences

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 2, pp.398-409

Belge Tipi: Makale

Yayın Tarihi: 3/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001286631

pISSN: 2651-477X

spaces

separation axioms

lattice

spectral spaces

Sayı

Yazarlar:

Sami Lazaar | Abdelwaheb Mhemdi | Tareq Al-shami | Hadjer Okbani

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 2, pp.398-409

Belge Tipi:

Makale

Yayın Tarihi:

3/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001286631

pISSN:

2651-477X