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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.39 (2007) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4115
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| Title: | Sequential Order of Compact Sequential Spaces |
| Authors: | Soranzo, Alessandro
Tironi, 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 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. |
| 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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