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Remarks on Souslin Properties and Tree Topologies
| dc.contributor.author | Fleissner, William G. | |
| dc.date.accessioned | 2015-02-19T18:23:47Z | |
| dc.date.available | 2015-02-19T18:23:47Z | |
| dc.date.issued | 1980-10-01 | |
| dc.identifier.citation | Fleissner, William G. "Remarks on Souslin Properties and Tree Topologies." Proc. AMS. (1980) 80, 2. 320-326. http://www.dx.doi.org/10.1090/S0002-9939-1980-0577767-2. | en_US |
| dc.identifier.uri | http://hdl.handle.net/1808/16734 | |
| dc.description | This is the published version, also available here: http://www.dx.doi.org/10.1090/S0002-9939-1980-0577767-2. First published in Proceedings of the AMS in 1980, published by the American Mathematical Society. | en_US |
| dc.description.abstract | We investigate the relation of Souslin (antichain) properties of trees and tree topologies. One result extends a result of Devlin and Shelah by proving, within ZFC, the equivalence of four properties for <o,-trees-collectionwise normal, normal and collectionwise Hausdorff, property y, and antichain normal and collectionwise Hausdorff. A second result is the construction, assuming V = L, of an Aronszajn tree which is not countably metacompact. Third, we show that no tree can be a Dowker space. | en_US |
| dc.publisher | American Mathematical Society | en_US |
| dc.title | Remarks on Souslin Properties and Tree Topologies | en_US |
| dc.type | Article | |
| kusw.kuauthor | Fleissner, William G. | |
| kusw.kudepartment | Mathematics | en_US |
| dc.identifier.doi | 10.1090/S0002-9939-1980-0577767-2 | |
| kusw.oaversion | Scholarly/refereed, publisher version | |
| kusw.oapolicy | This item does not meet KU Open Access policy criteria. | |
| dc.rights.accessrights | openAccess |
