On linearly Lindelöf and strongly discretely Lindelöf spaces

  • Arhangel’skii A
  • Buzyakova R
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Abstract

We prove that the cardinality of every first countable linearly Lindelöf Tychonoff space does not exceed , and every strongly discretely Lindelöf Tychonoff space of countable tightness is Lindelöf.

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Arhangel’skii, A. V., & Buzyakova, R. Z. (1999). On linearly Lindelöf and strongly discretely Lindelöf spaces. Proceedings of the American Mathematical Society, 127(8), 2449–2458. https://doi.org/10.1090/s0002-9939-99-04783-8

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