Some Subcategories of The Category IRe$l_{R}$(H)

범주 IRe $l_{R}$(H)의 부분범주

  • K. Hur (Division of Mathematics and Informational Statistics Wonkwang University) ;
  • H. W. Kang (Dept. of Mathematics Education Woosuk University) ;
  • J. H. Ryou (Division of Mathematics and Informational Statistics Wonkwang University) ;
  • H. K. Song (Division of Mathematics and Informational Statistics Wonkwang University)
  • Published : 2003.05.01

Abstract

We introduce the subcategories IRe $l_{PR}$ (H), IRe $l_{PO}$ (H) and IRe $l_{E}$(H) of IRe $l_{R}$(H) and study their structures in a viewpoint of the topological universe introduced by L.D.Nel. In particular, the category IRe $l_{R}$(H)(resp. IRe $l_{P}$(H) and IRe $l_{E}$(H)) is a topological universe eve, Set. Moreover, we show that IRe $l_{E}$(H) has exponential objects.ial objects.

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