박배훈 Bae Hun Park
DOI: JANT Vol.16(No.2) 22-26, 1978
It is shown that a map having an extension to an open map between the Alexandroff base compactification of its domain and range has a unique such extention. J.S. Wasileski has introduced the Alexandroff base compactification of Hausdorff spaces endowed with Alexandroff bases. We introduce a definition of morphism between such spaces to obtain a category which we denote by ABC. We prove that the Alexandroff base compactification on objects can be to a functor on ABC and that the compact objects give an epireflective subcategory of ABC.