Spaces without Nonconstant Maps into Y
Author: Trnková V.
Source: Applied Categorical Structures, Volume 8, Number 3, September 2000 , pp. 407-424(18)
Given a T_1-space Y, we show that the category H(Y) of all nonvoid Y-connected regular T_1 spaces contains arbitrarily large extremally semirigid spaces. It contains also two reflective subcategories the intersection of which is not reflective.
Document Type: Regular paper
Publication date: 2000-09-01