• Title of article

    An asymmetric characterization of the congruence frame

  • Author/Authors

    Frith، نويسنده , , John and Schauerte، نويسنده , , Anneliese، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2011
  • Pages
    6
  • From page
    939
  • To page
    944
  • Abstract
    The functor from regular biframes to frames, taking first parts, is shown to be faithful. This result is used to provide many examples of identical embeddings which are epimorphisms in the category of frames. Then the congruence frame, regarded as a biframe, is characterized as being the unique regular biframe extension. This provides a pointfree analogue to a result of Salbany (1970, 1974 [16]) that the forgetful functor from completely regular bitopological spaces to all topological spaces, taking first parts, has a unique section.
  • Keywords
    Skula functor , Strictly zero-dimensional , Regular biframe extension , Quasi-uniform frame , Pseudosection , frame , Congruence lattice , Regular biframe , Skula biframe
  • Journal title
    Topology and its Applications
  • Serial Year
    2011
  • Journal title
    Topology and its Applications
  • Record number

    1582861