Theory of Generalized Compactness in Generalized Topological Spaces: Part II. Countable, Sequential and Local Properties

Mohammad Irshad KHODABOCUS; Noor-ul-hacq SOOKIA

doi:https://doi.org/10.54974/fcmathsci.1009492

Makale detayları

Theory of Generalized Compactness in Generalized Topological Spaces: Part II. Countable, Sequential and Local Properties

Yazarlar:

Mohammad Irshad KHODABOCUS | Noor-ul-hacq SOOKIA

Yayıncı:

Mustafa UÇKUN

Ana Başlıklar:

Matematik

Dergi:

Fundamentals of Contemporary Mathematical Sciences 2022 Vol.3 Issue 2, pp.98-118

Belge Tipi:

Makale

Yayın Tarihi:

7/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000422247

eISSN:

2717-6185

DOI:

https://doi.org/10.54974/fcmathsci.1009492

Özet:

 

In a recent paper, a novel class of generalized compact sets (briefly, g-Tg -compact sets) in generalized topological spaces (briefly, Tg -spaces) has been studied. In this paper, the concept is further studied and, other derived concepts called countable, sequential, and local generalized compactness (countable, sequential, local g-Tg -compactness) in Tg -spaces are also studied relatively. The study reveals that g-Tg -compactness implies local g-Tg -compactness and countable g-Tg-compactness, sequential g-Tg -compactness implies countable g-Tg -compactness and, g-Tg -compactness is a generalized topological property (briefly, Tg -property). Diagrams establish the various relationships amongst these types of g-Tg -compactness presented here and in the literature, and a nice application supports the overall theory.

Makale detayları

Theory of Generalized Compactness in Generalized Topological Spaces: Part II. Countable, Sequential and Local Properties

Yazarlar: Mohammad Irshad KHODABOCUS | Noor-ul-hacq SOOKIA

Yayıncı: Mustafa UÇKUN

Ana Başlıklar: Matematik

Dergi: Fundamentals of Contemporary Mathematical Sciences 2022 Vol.3 Issue 2, pp.98-118

Belge Tipi: Makale

Yayın Tarihi: 7/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000422247

eISSN: 2717-6185

DOI: https://doi.org/10.54974/fcmathsci.1009492

Sayı

Yazarlar:

Mohammad Irshad KHODABOCUS | Noor-ul-hacq SOOKIA

Yayıncı:

Mustafa UÇKUN

Ana Başlıklar:

Matematik

Dergi:

Fundamentals of Contemporary Mathematical Sciences 2022 Vol.3 Issue 2, pp.98-118

Belge Tipi:

Makale

Yayın Tarihi:

7/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000422247

eISSN:

2717-6185

DOI:

https://doi.org/10.54974/fcmathsci.1009492