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Czechoslovak Mathematical Journal

, Volume 56, Issue 4, pp 1229–1241 | Cite as

Samuel compactification and uniform coreflection of nearness σ-frames

  • Inderasan Naidoo
Article

Abstract

We introduce the structure of a nearness on a σ-frame and construct the coreection of the category N σ Frm of nearness σ-frames to the category KReg σ Frm of compact regular σ-frames. This description of the Samuel compactification of a nearness σ-frame is in analogy to the construction by Baboolal and Ori for nearness frames in [1] and that of Walters for uniform σ-frames in [11]. We also construct the uniform coreflection of a nearness σ-frame, that is, the coreflection of the category of N σ Frm to the category U σ Frm of uniform σ-frames.

Keywords

σ-frame nearness Samuel compactification 

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Copyright information

© Mathematical Institute, Academy of Sciences of Czech Republic 2006

Authors and Affiliations

  • Inderasan Naidoo
    • 1
  1. 1.School of MathematicsUniversity of the WitwatersrandGautengSouth Africa

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