On the character and \(\pi\)-weight of homogeneous compacta.
The following results are noted in this paper. Under GCH, \(\chi(X) \leq \pi(X)\) for every homogeneous compactum \(X\). Also CH implies that a homogeneous compactum of countable \(\pi\)-weight is first countable. The main theorem proved by the author is that there is in ZFC a compact space with countable \(\pi\)-weight and character \(\omega_1\) which is homogeneous under MA + \(\neg\) CH, but not under CH. The last section of the paper is informative and contains a discussion on examples of homogeneous compacta.
scientific article; zbMATH DE number 1910274
scientific article