Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4115

 Title: Sequential Order of Compact Sequential Spaces Authors: Soranzo, AlessandroTironi, Gino Issue Date: 2007 Publisher: EUT Edizioni Università di Trieste Citation: Alessandro Soranzo, Gino Tironi, "Sequential Order of Compact Sequential Spaces”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 39 (2007), pp. 301–309. Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics39 (2007) Abstract: The problem of finding compact Hausdorff sequential spaces of sequential order $\alpha \leq \omega_1$ is important and highly nontrivial. A solution has been searched in ZFC, but unsuccessfully up to now. Classically it was solved under CH, and more recently under MA up to order four. We present here a construction of a space of order three that appears simpler than previous constructions. URI: http://hdl.handle.net/10077/4115 ISSN: 0049-4704 Appears in Collections: Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.39 (2007)

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