ST2, ∆T2, ST3, ∆T3, Tychonoff, compact and ∂-connected objects in the category of proximity spaces

Muammer KULA

Makale detayları

ST2, ∆T2, ST3, ∆T3, Tychonoff, compact and ∂-connected objects in the category of proximity spaces

Yazarlar:

Muammer KULA

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 2, pp.490-500

Belge Tipi:

Makale

Yayın Tarihi:

3/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000451597

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

In this paper, an explicit characterization of the separation properties ST2ST2ST_2, ΔT2ΔT2\Delta T_2, ST3ST3ST_{3}, ΔT3ΔT3 \Delta T_{3}  and Tychonoff objects are given in the topological category of proximity space. Furthermore, the (strongly) compact object and ∂∂\partial-connected object are also characterized in the category of proximity space. Moreover, we investigate the relationships among  ST2ST2ST_2, ΔT2ΔT2\Delta T_2, ST3ST3ST_{3}, ΔT3ΔT3 \Delta T_{3} , the separation properties at a point ppp, the generalized separation properties TiTiT_{i}, i=0,1,2i=0,1,2i=0,1,2, T0T0\mathbf{T_{0}}, T1T1\mathbf{T_{1}}, T2T2\mathbf{T_{2}} and Tychonoff objects in this category. Finally, we investigate the relationships between ∂∂\partial-connected object and (strongly) connected object in the topological category of proximity space.

Makale detayları

ST2, ∆T2, ST3, ∆T3, Tychonoff, compact and ∂-connected objects in the category of proximity spaces

Yazarlar: Muammer KULA

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 2, pp.490-500

Belge Tipi: Makale

Yayın Tarihi: 3/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000451597

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Muammer KULA

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 2, pp.490-500

Belge Tipi:

Makale

Yayın Tarihi:

3/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000451597

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X