Skip to Main Content

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.

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.

 

The subcontinua of a dendron form a Hilbert cube factor
HTML articles powered by AMS MathViewer

by James E. West
Proc. Amer. Math. Soc. 36 (1972), 603-608
DOI: https://doi.org/10.1090/S0002-9939-1972-0312449-9

Abstract:

The title statement is proved, and it is shown further that the subcontinua of a dendron actually form a Hilbert cube when (and only when) the branch points of the dendron are dense. Along the way, it is established that whenever a Hilbert cube manifold is compactified into a Hilbert cube factor by the addition of another Hilbert cube factor having Property Z in the compactification, then the resulting space is actually a Hilbert cube.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54B20, 54A20
  • Retrieve articles in all journals with MSC: 54B20, 54A20
Bibliographic Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 36 (1972), 603-608
  • MSC: Primary 54B20; Secondary 54A20
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0312449-9
  • MathSciNet review: 0312449