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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Compact subsets of $R^{n}$ and dimension of their projections
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by Sibe Mardešić
Proc. Amer. Math. Soc. 41 (1973), 631-633
DOI: https://doi.org/10.1090/S0002-9939-1973-0334161-3
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Abstract:

In this paper it is proved that a $k$-dimensional closed subset $X \subset {R^n}$ admits a projection $p$ into one of the coordinate $k$-planes such that $\dim p(X) = k$.
References
    W. Hurewicz and W. Hallman, Dimension theory, Princeton Math. Series, vol. 4, Princeton Univ. Press, Princeton, N.J., 1948. MR 3, 312.
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Bibliographic Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 41 (1973), 631-633
  • MSC: Primary 54F45
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0334161-3
  • MathSciNet review: 0334161