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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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A closed separable subspace of $\beta \textbf {N}$ which is not a retract
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by Petr Simon PDF
Trans. Amer. Math. Soc. 299 (1987), 641-655 Request permission

Abstract:

We shall exhibit a countable subset, $X$, of ${{\mathbf {N}}^{\ast }}$ whose closure is not a retract of $\beta {\mathbf {N}}$. The points of $X$ are constructed in $c$ steps with the aid of an independent matrix of subsets of $\omega$.
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 299 (1987), 641-655
  • MSC: Primary 54G20; Secondary 04A20, 54D35
  • DOI: https://doi.org/10.1090/S0002-9947-1987-0869226-5
  • MathSciNet review: 869226