STONE-CECH COMPACTIFICATIONS OF DITOPOLOGICAL TEXTURE SPACES


UGUR A. A. , DİKER M.

QUAESTIONES MATHEMATICAE, cilt.32, sa.1, ss.15-33, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 32 Konu: 1
  • Basım Tarihi: 2009
  • Doi Numarası: 10.2989/qm.2009.32.1.3.705
  • Dergi Adı: QUAESTIONES MATHEMATICAE
  • Sayfa Sayıları: ss.15-33

Özet

A texturing on a set S is a point separating, complete, completely distributive lattice S of subsets of S with respect to inclusion which contains S, phi and for which arbitrary meet coincides with intersection and finite joins coincide with union. Then (S, S) is called a texture space. In this paper, a suitable evaluation difunction is defined and an approach for the construction of the Stone-Cech compactification of ditopological texture spaces is given. It is also shown that the Stone-Cech compactification of a topological space can be obtained using highly economic structure of the unit texture.