Alexandroff-Urysohn-compact

Definition

A topological space is said to be Alexandroff-Urysohn compact if for every infinite subset there is a complete accumulation point.

Reference

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.