sequentially α-compact

Definition

A subset B of a topological space X is called sequentially α-compact if every sequence in B has a subsequence α-convergent to some point in B.

Reference

S.P. Arya and M.P. Bhamini, A note on semi-US spaces, Ranchi Uni. Maths. Jour. Vol 13 (1982), 60-69.
G.B. Navalagi, Definition bank in general topology, http://at.yorku.ca/i/d/e/b/75.htm