Closure Operators in Semiuniform Convergence Spaces


Creative Commons License

BARAN M. , KULA S., BARAN T. M. , QASIM M.

FILOMAT, cilt.30, ss.131-140, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 30 Konu: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1601131b
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.131-140

Özet

In this paper, the characterization of closed and strongly closed subobjects of an object in category
of semiuniform convergence spaces is given and it is shown that they induce a notion of closure
which enjoy the basic properties like idempotency,(weak) hereditariness, and productivity in the category
of semiuniform convergence spaces. Furthermore, T1 semiuniform convergence spaces with respect to
these two new closure operators are characterized.