On PCF spaces which are not Frechet-Urysohn
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Publication date: 06.09.2018
Reports on Mathematical Logic, 2018, Number 53, pp. 67 - 77
https://doi.org/10.4467/20842589RM.18.004.8837Authors
On PCF spaces which are not Frechet-Urysohn
By means of a forcing argument, it was shown by Pereira that if CH holds then there is a separable PCF space of height ω1 + 1 which is not Fréchet-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 δ + 1 where δ<ω2 with cf(δ) = ω1.
Received 12 June 2017
Research supported by the Spanish Ministry of Education DGI grant MTM2014-59178-P and by the Catalan DURSI grant 2014SGR437.
AMS subject classification: 03E35, 03E04, 03E75, 06E05, 54A25, 54G12
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Information: Reports on Mathematical Logic, 2018, Number 53, pp. 67 - 77
Article type: Original article
Titles:
On PCF spaces which are not Frechet-Urysohn
On PCF spaces which are not Frechet-Urysohn
Facultat de Matemàtiques i Informàtica Universitat de Barcelona Gran Via 585, 08007 Barcelona, Spain
Published at: 06.09.2018
Article status: Open
Licence: CC BY-NC-ND
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English