A textural view of the distinction between uniformities and quasi-uniformities

Oezcag S., Brown L. A.

TOPOLOGY AND ITS APPLICATIONS, cilt.153, sa.17, ss.3294-3307, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 153 Sayı: 17
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.topol.2005.03.018
  • Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3294-3307
  • Hacettepe Üniversitesi Adresli: Hayır

Özet

In this paper the authors consider the interplay between di-uniformities on a texture and a complementation on that texture. It is shown that with each di-uniformity corresponds a second di-uniformity, called its complement. Di-uniformities that coincide with their complement are then called complemented, and it is verified that the uniform ditopology of a complemented di-uniformity is a complemented ditopology. The connection with the uniform bicontinuity of the complement of a difunction is also considered.