A Note on Closedness and Connectedness in the Category of Proximity Spaces


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KULA M. , Marasli T., Ozkan S.

FILOMAT, cilt.28, ss.1483-1492, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 28 Konu: 7
  • Basım Tarihi: 2014
  • Doi Numarası: 10.2298/fil1407483k
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.1483-1492

Özet

In this paper, an explicit characterization of the separation properties T-0 and T-1 at a point p is given in the topological category of proximity spaces. Furthermore, the (strongly) closed and (strongly) open subobjects of an object are characterized in the category of proximity spaces and also the characterization of each of the various notions of the connected objects in this category are given.