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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Infinite dimensional compacta containing no $n$-dimensional $\left ( {n \geqslant 1} \right )$ subsets
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by John J. Walsh PDF
Bull. Amer. Math. Soc. 84 (1978), 137-138
References
  • P. S. Aleksandrov, Some results in the theory of topological spaces obtained within the last twenty-five years, Russian Math. Surveys 15 (1960), no. 2, 23–83. MR 0119181, DOI 10.1070/RM1960v015n02ABEH004216
  • P. S. Aleksandrov, Some fundamental directions in general topology, Uspehi Mat. Nauk 19 (1964), no. 6 (120), 3–46 (Russian). MR 0172230
  • R. H. Bing, A hereditarily infinite dimensional space, General Topology and its Relations to Modern Analysis and Algebra, II (Proc. Second Prague Topological Sympos., 1966) Academia, Prague, 1967, pp. 56–62. MR 0233336
  • [He-1] D. W. Henderson, An infinite-dimensional compactum with no positive-dimensional compact subsets—a simpler construction, Amer. J. Math. 89 (1967), 105-121.
  • David W. Henderson, Each strongly infinite-dimensional compactum contains a hereditarily infinite-dimensional compact subset, Amer. J. Math. 89 (1967), 122–123. MR 210073, DOI 10.2307/2373101
  • Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, vol. 4, Princeton University Press, Princeton, N. J., 1941. MR 0006493
  • [Ko] G. Kozlowski, Images of ANR’s, Trans. Amer. Math. Soc. (to appear). [R-S-W] L. Rubin, R. Schori and J. Walsh, New Dimension-theory techniques for constructing infinite-dimensional examples (submitted). [Za] A. V. Zarelua, Construction of strongly infinite dimensional compacta using rings of continuous functions, Soviet Math. Dokl. 15 (1974), 106-110.
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 84 (1978), 137-138
  • MSC (1970): Primary 54F45, 55C10
  • DOI: https://doi.org/10.1090/S0002-9904-1978-14441-3
  • MathSciNet review: 0458435