TY - JOUR
AU - McCluskey, Aisling E.
AU - Watson, W. S.
PY - 2002/04/01
Y2 - 2024/11/02
TI - Minimal TUD spaces
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 3
IS - 1
SE -
DO - 10.4995/agt.2002.2112
UR - https://polipapers.upv.es/index.php/AGT/article/view/2112
SP - 55-64
AB - <p>A topological space is T<sub>UD</sub> if the derived set of each point is the union of disjoint closed sets. We show that there is a minimal T<sub>UD</sub> space which is not just the Alexandroff topology on a linear order. Indeed the structure of the underlying partial order of a minimal T<sub>UD</sub> space can be quite complex. This contrasts sharply with the known results on minimality for weak separation axioms.</p>
ER -