Abstract:We show that the product of a compact, sequential $T_2$ space with an hereditarily absolutely countably compact $T_3$ space is hereditarily absolutely countably compact, and further that the product of a compact $T_2$ space of countable tightness with an hereditarily absolutely countably compact $\omega $-bounded $T_3$ space is hereditarily absolutely countably compact.
Keywords: compact, countably compact, absolutely countably compact, hereditarily absolutely countably compact, $\omega $-bounded, countable tightness, sequential space
AMS Subject Classification: 54D20, 54B10, 54D55