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http://hdl.handle.net/10077/4115| Title: | Sequential Order of Compact Sequential Spaces | Authors: | Soranzo, Alessandro Tironi, 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 Mathematics 39 (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. |
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) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| SoranzoTironi RendMat39.pdf | 111.65 kB | Adobe PDF |  View/Open |
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