2017/01/04 by Naderi, Fouad
#FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1701.01131
In 1959, Pelczynski and Semadeni proved a theorem in which they gave some equivalent conditions for a compact Hausdorff space to be scattered. The purpose of the current note is that to clarify the meaning of the subtle term "conditionally weakly sequentially compact" they used as the basis for the proof of their theorem. Unfortunately, the term now is taken over by a similar but subtle concept that may cause a serious problem.