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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Embeddings of $n$-dimensional separable metric spaces into the product of Sierpinski curves
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by Daria Michalik PDF
Proc. Amer. Math. Soc. 135 (2007), 2661-2664 Request permission

Abstract:

We give a short proof of the following fact: the set of embeddings of any $n$-dimensional separable metric space $X$ into a certain $n$-dimensional subset of the $(n+1)$-product of Sierpiński curves $\Sigma$ is residual in $C(X, \Sigma ^{n+1})$.
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Additional Information
  • Daria Michalik
  • Affiliation: Institute of Mathematics, Polish Academy of Sciences, P.O. Box 21 Ĺšniadeckich 8 00-956 Warszawa, Poland
  • Email: daria@impan.gov.pl
  • Received by editor(s): March 21, 2005
  • Received by editor(s) in revised form: April 28, 2005
  • Published electronically: March 30, 2007
  • Communicated by: Alexander N. Dranishnikov
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 2661-2664
  • MSC (2000): Primary 54F45, 14C55; Secondary 54C25, 54F50
  • DOI: https://doi.org/10.1090/S0002-9939-07-08782-5
  • MathSciNet review: 2302589