A note on spaces of continuous functions on compact scattered spaces
Functional Analysis
2017-01-16 v3
Abstract
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.
Cite
@article{arxiv.1701.01131,
title = {A note on spaces of continuous functions on compact scattered spaces},
author = {Fouad Naderi},
journal= {arXiv preprint arXiv:1701.01131},
year = {2017}
}
Comments
The result is suspicious and needs more consideration