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.

 

Universal maps on trees
HTML articles powered by AMS MathViewer

by Carl Eberhart and J. B. Fugate PDF
Trans. Amer. Math. Soc. 350 (1998), 4235-4251 Request permission

Abstract:

A map $f:R \to S$ of continua $R$ and $S$ is called a universal map from $R$ to $S$ if for any map $g:R \to S$, $f(x) = g(x)$ for some point $x \in R$. When $R$ and $S$ are trees, we characterize universal maps by reducing to the case of light minimal universal maps. The characterization uses the notions of combinatorial map and folded subedge of $R$.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 54H25, 54F20
  • Retrieve articles in all journals with MSC (1991): 54H25, 54F20
Additional Information
  • Carl Eberhart
  • Affiliation: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506
  • Email: carl@ms.uky.edu
  • J. B. Fugate
  • Affiliation: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506
  • Email: fugate@ms.uky.edu
  • Received by editor(s): May 5, 1987
  • Received by editor(s) in revised form: January 21, 1997
  • © Copyright 1998 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 350 (1998), 4235-4251
  • MSC (1991): Primary 54H25; Secondary 54F20
  • DOI: https://doi.org/10.1090/S0002-9947-98-02026-1
  • MathSciNet review: 1443871