The autohomeomorphism group of connected homogeneous functionally Alexandroff spaces
Sami Lazaar, Tom Richmond, Houssem Sabri · Communications in Algebra · 2019
If f:X→X is a map, then the family {A⊆X:f(A)⊆A} gives the closed sets of a topology P(f) on X called a functionally Alexandroff topology. If (X,P(f)) is a connected homogeneous functionally Alexandroff space, we give an algebraic characterization and some basic properties of its autohomeomorphism group H(X).