Cartesian Closedness of the Category of Fibrewise Convergence Spaces

  • Lee, Seok Jong (Department of Mathematics Chungbuk National University) ;
  • Lee, Seung On (Department of Mathematics Chungbuk National University) ;
  • Lim, Jong Sul (Department of Mathematics Education Chungbuk National University)
  • Received : 1993.05.01
  • Published : 1993.06.30

Abstract

In this paper, we obtain the internal function space structure in the category of the fibrewise convergence spaces by means of the final structure. Moreover, we investigate cartesian closedness of the category of fibrewise convergence spaces which contains the category of fibrewise topological spaces as a full subcategory.

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