Internal characterizations of productively Lindelöf spaces
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- by Leandro F. Aurichi and Lyubomyr Zdomskyy PDF
- Proc. Amer. Math. Soc. 146 (2018), 3615-3626 Request permission
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”.References
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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
- MR Author ID: 863560
- ORCID: 0000-0001-7202-3904
- Email: aurichi@icmc.usp.br
- Lyubomyr Zdomskyy
- Affiliation: Kurt Goedel Research Center for Mathematical Logic, University of Vienna, Waehringer Strasse 25, A-1090 Wien, Austria
- MR Author ID: 742789
- Email: lzdomsky@gmail.com
- 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
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 3615-3626
- MSC (2010): Primary 54D20, 54A35; Secondary 03E17
- DOI: https://doi.org/10.1090/proc/14031
- MathSciNet review: 3803685