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Internal characterizations of productively Lindelöf spaces

Authors: Leandro F. Aurichi and Lyubomyr Zdomskyy
Journal: Proc. Amer. Math. Soc.
MSC (2010): Primary 54D20, 54A35; Secondary 03E17
Published electronically: March 30, 2018
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Abstract | References | Similar Articles | Additional Information

Abstract: We present an internal characterization for the productively Lindelöf property, thus answering a long-standing problem attributed to Tamano. We also present some results about the relation ``Alster spaces'' vs. ``productively Lindelöf spaces''.

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Additional Information

Leandro F. Aurichi
Affiliation: Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Caixa Postal 668, São Carlos, SP, 13560-970, Brazil

Lyubomyr Zdomskyy
Affiliation: Kurt Goedel Research Center for Mathematical Logic, University of Vienna, Waehringer Strasse 25, A-1090 Wien, Austria

Keywords: (Productively) Lindel\"of space, Alster space, Michael space, Menger property.
Received by editor(s): April 12, 2017
Received by editor(s) in revised form: October 18, 2017
Published electronically: March 30, 2018
Additional Notes: The first author was partially supported by FAPESP (2013/05469-7 and 2015/25725). A part of the results were obtained during the visit of the first author to the Kurt Gödel Center at the University of Vienna in January, 2017, partially supported by the FWF Grant M 1851-N35.
The second author would like to thank the Austrian Science Fund FWF (Grants I 1209-N25 and I 2374-N35) for generous support for this research.
Communicated by: Heike Mildenberger
Article copyright: © Copyright 2018 American Mathematical Society

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