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    Remarks on Souslin Properties and Tree Topologies

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    FleissnerW_PAMS_80(2)320.pdf (722.4Kb)
    Issue Date
    1980-10-01
    Author
    Fleissner, William G.
    Publisher
    American Mathematical Society
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
    Metadata
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    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.
    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.
    URI
    http://hdl.handle.net/1808/16734
    DOI
    https://doi.org/10.1090/S0002-9939-1980-0577767-2
    Collections
    • Mathematics Scholarly Works [283]
    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.

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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