Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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.

 

Countable-dimensional universal sets
HTML articles powered by AMS MathViewer

by Roman Pol PDF
Trans. Amer. Math. Soc. 297 (1986), 255-268 Request permission

Abstract:

The main results of this paper are a construction of a countable union of zero dimensional sets in the Hilbert cube whose complement does not contain any subset of finite dimension $n \geqslant 1$ (Theorem 2.1, Corollary 2.3) and a construction of universal sets for the transfinite extension of the Menger-Urysohn inductive dimension (Theorem 2.2, Corollary 2.4).
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 54F45, 54F65
  • Retrieve articles in all journals with MSC: 54F45, 54F65
Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 297 (1986), 255-268
  • MSC: Primary 54F45; Secondary 54F65
  • DOI: https://doi.org/10.1090/S0002-9947-1986-0849478-7
  • MathSciNet review: 849478