Heredity and Coreflective Subcategories of the Category of Topological Spaces

Author: Čin   SRC="/iso-ents/isolat2/ccaron-s.gif" ALT="ccaron" J.  

Publisher: Springer Publishing Company

ISSN: 0927-2852

Source: Applied Categorical Structures, Vol.9, Iss.2, 2001-03, pp. : 131-138

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Abstract

Every hereditary coreflective subcategory of Top containing the category of finitely-generated spaces is shown to be generated by a class of spaces having a unique accumulation point. It is also shown that the coreflective hull of a union of two hereditary coreflective subcategories of Top need not be hereditary so that a coreflective subcategory of Top need not have a hereditary coreflective kernel.