Spaces without Nonconstant Maps into Y

Author: Trnková V.

Source: Applied Categorical Structures, Volume 8, Number 3, September 2000 , pp. 407-424(18)

Publisher: Springer

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.

Keywords: continuous maps; nonconstant maps; reflective subcategories; clones

Language: English

Document Type: Regular paper

Affiliations: 1: Mathematical Institute, Charles University, Sokolovská 83, 18675 Praha 8, Czech Republic

Publication date: 2000-09-01

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