Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

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



Infinite dimensional compacta containing no $n$-dimensional $\left( {n \geqslant 1} \right)$ subsets

Author: John J. Walsh
Journal: Bull. Amer. Math. Soc. 84 (1978), 137-138
MSC (1970): Primary 54F45, 55C10
MathSciNet review: 0458435
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 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,
  • 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,
  • Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, v. 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.

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 54F45, 55C10

Retrieve articles in all journals with MSC (1970): 54F45, 55C10

Additional Information