Abstract
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.
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Trnková, V. Spaces without Nonconstant Maps into Y. Applied Categorical Structures 8, 407–424 (2000). https://doi.org/10.1023/A:1008602612692
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DOI: https://doi.org/10.1023/A:1008602612692