On a question of Archangelskij concerning Lindelöf spaces with countable pseudocharacter
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- by K. Alster
- Proc. Amer. Math. Soc. 95 (1985), 320-322
- DOI: https://doi.org/10.1090/S0002-9939-1985-0801347-9
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Abstract:
We give a negative solution to Archangelskij’s problem by showing that there exists a Lindelöf space with countable pseudocharacter which does not admit a continuous one-to-one mapping onto a first countable Hausdorff space.References
- K. Alster, Some remarks on another Michael’s problem concerning the Lindelöf property in the Cartesian products (in preparation).
- A. V. Archangelskij, On cardinal invariants, General topology and its relations to modern analysis and algebra, III (Proc. Third Prague Topological Sympos., 1971) Academia, Prague, 1972, pp. 37–46. MR 0410629
- H. H. Corson, The weak topology of a Banach space, Trans. Amer. Math. Soc. 101 (1961), 1–15. MR 132375, DOI 10.1090/S0002-9947-1961-0132375-5
- A. Hajnal and I. Juhász, Lindelöf spaces à la Shelah, Topology, Vol. I, II (Proc. Fourth Colloq., Budapest, 1978) Colloq. Math. Soc. János Bolyai, vol. 23, North-Holland, Amsterdam-New York, 1980, pp. 555–567. MR 588804
- Thomas J. Jech, Lectures in set theory, with particular emphasis on the method of forcing, Lecture Notes in Mathematics, Vol. 217, Springer-Verlag, Berlin-New York, 1971. MR 0321738, DOI 10.1007/BFb0061131 S. Shelah, Handwritten notes, 1978.
Bibliographic Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 95 (1985), 320-322
- MSC: Primary 54D20; Secondary 54A25
- DOI: https://doi.org/10.1090/S0002-9939-1985-0801347-9
- MathSciNet review: 801347