The prime dicompletion of a di-uniformity on a plain texture


ÖZÇAĞ S. , BROWN L. M.

TOPOLOGY AND ITS APPLICATIONS, cilt.158, ss.1584-1594, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 158 Konu: 13
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.topol.2011.05.028
  • Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
  • Sayfa Sayıları: ss.1584-1594

Özet

Working within a plain texture (S, S), the authors construct a completion of a dicovering uniformity v on (S, S) in terms of prime S-filters. In case v is separated, a separated completion is then obtained using the To-quotient, and it is shown that this construction produces a reflector. For a totally bounded di-uniformity it is verified that these constructions lead to dicompactifications of the uniform ditopology. A condition is given under which complementation is preserved on passing to these completions, and an example on the real texture (R, R, rho) is presented. (C) 2011 Elsevier B.V. All rights reserved.