On -compactlike spaces and reflective subcategories

  title={On -compactlike spaces and reflective subcategories},
  author={Sung Sa Hong},
Abstract We introduce the new topology on a topological space generated by the -sets. For an extensive subcategory of a category A of Hausdorff spaces and continuous maps, we consider the subcategory of A determined by those members of A which are -closed in their -reflection spaces. It is shown that is also an extensive subcategory of A for every infinite cardinal number if A is hereditary. It is also shown that a completely regular space is -closed in its Stone-Cech compactification iff it is… CONTINUE READING