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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Embedding cosmic spaces in Lusin spaces
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by Amer Bešlagić PDF
Proc. Amer. Math. Soc. 89 (1983), 515-518 Request permission

Abstract:

We show that every regular cosmic space can be embedded in a Lusin space. This answers a question posed by J. P. R. Christensen.
References
  • Jean Calbrix, Une propriété des espaces topologiques réguliers, images continues d’espaces métrisables séparables, C. R. Acad. Sci. Paris Sér. I Math. 295 (1982), no. 2, 81–82 (French, with English summary). MR 676368
  • J. P. R. Christensen, Topology and Borel structure, North-Holland Mathematics Studies, Vol. 10, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1974. Descriptive topology and set theory with applications to functional analysis and measure theory. MR 0348724
  • Eric K. van Douwen, The integers and topology, Handbook of set-theoretic topology, North-Holland, Amsterdam, 1984, pp. 111–167. MR 776622
  • Ryszard Engelking, Topologia ogólna, Państwowe Wydawnictwo Naukowe, Warsaw, 1975 (Polish). Biblioteka Matematyczna, Tom 47. [Mathematics Library. Vol. 47]. MR 0500779
  • W. Hurewicz, Relative perfekte Teile von Punktmengen und Mengen $(A)$, Fund. Math. 12 (1928), 78-109.
  • Brenda MacGibbon, On pre-analytic spaces, Math. Ann. 213 (1975), 257–259. MR 358743, DOI 10.1007/BF01350874
  • E. Michael, $\aleph _{0}$-spaces, J. Math. Mech. 15 (1966), 983–1002. MR 0206907
  • Ernest A. Michael, Paracompactness and the Lindelöf property in finite and countable Cartesian products, Compositio Math. 23 (1971), 199–214. MR 287502
  • M. E. Rudin, Handwritten notes.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 89 (1983), 515-518
  • MSC: Primary 54H05; Secondary 54E15, 54E65
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0715877-X
  • MathSciNet review: 715877