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 | |