Neutrosophic compactness via summability and sequential definitions of connectedness in neutrosophic spaces


Acikgoz A., Çakallı H., Esenbel F.

Filomat, cilt.37, sa.30, ss.10341-10353, 2023 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 30
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2298/fil2330341a
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.10341-10353
  • Anahtar Kelimeler: Neutrosophic G-sequential compactness, Neutrosophic G-sequential continuity, Neutrosophic sequential Fréchet compactness, Neutrosophical G-sequential connectedness, Neutrosophically sequentially closed space
  • Maltepe Üniversitesi Adresli: Evet

Özet

In this study, using the concept of the neutrosophic method introduced earlier, as done in different types of topological spaces, a new type of sequential compactness is introduced and investigated. After giving various definitions which constitute the cornerstones of our research, in the third section, a new perspective to the concept of connectedness is brought, which is among the most important characters of the topology world, based on the concept of the neutrosophic method. By giving examples of each new definition given in the second and third sections, a better understanding of the new concepts given is provided.