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 Source: 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 sequentialspaces of sequential order $\alpha \leq \omega_1$ is important and highly nontrivial.A solution has been searched in ZFC, but unsuccessfullyup to now. Classically it was solved under CH, and more recentlyunder MA up to order four. We present here a construction of aspace of order three that appears simpler than previous constructions. Type: Article 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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