Near Compactness of Ditopological Texture Spaces

  title={Near Compactness of Ditopological Texture Spaces},
  author={Lawrence M. Brown},
The authors consider the notions of near compactness, near cocompactness, near stability, near costability and near dicompactness in the setting of ditopological texture spaces. In particular preservation of these properties under surjective R-dimaps, co-R-dimaps and bi-R-dimaps is investigated and non-trivial characterizations of near dicompactness are given which generalize those for dicompactness. The notions of semiregularization, semicoregularization and semibiregularization are defined… CONTINUE READING