On PCF spaces which are not Frechet-Urysohn
On PCF spaces which are not Frechet-Urysohn

Summary/Abstract: By means of a forcing argument, it was shown by Pereira that if CH holds then there is a separable PCF space of height w1 + 1 which is not Frechet-Urysohn. In this paper, we give a direct proof of Pereira's theorem by means of a forcing-free argument, and we extend his result to PCF spaces of any height  + 1 where  < w2 with cf() = w1.

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