The problem of finding compact Hausdorff sequential spaces of sequential order $\alpha \le \omega_1$ 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.
Sequential order of compact sequential spaces / Soranzo, Alessandro; Tironi, G.. - In: RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE. - ISSN 0049-4704. - STAMPA. - 39:(2007), pp. 301-309.
Sequential order of compact sequential spaces
SORANZO, Alessandro;
2007-01-01
Abstract
The problem of finding compact Hausdorff sequential spaces of sequential order $\alpha \le \omega_1$ 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.File in questo prodotto:
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