*Definition [#z7059ea4] A topological space is said to be Alexandroff-Urysohn compact if for every infinite subset there is a complete accumulation point. *Reference [#ic49f79b] O. De la Cruz, E. Hall, P. Howard, J. E. Rubin, and A. Stanley, ''Definitions of compactness and the axiom of choice'', J. Symbolic Logic ''67'' (2002), no. 1. 143–161.