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.

 

On the dimensional structure of hereditarily indecomposable continua
HTML articles powered by AMS MathViewer

by Roman Pol and Mirosława Reńska PDF
Trans. Amer. Math. Soc. 354 (2002), 2921-2932 Request permission

Abstract:

Any hereditarily indecomposable continuum $X$ of dimension $n\geq 2$ is split into layers $B_r$ consisting of all points in $X$ that belong to some $r$-dimensional continuum but avoid any non-trivial continuum of dimension less than $r$. The subjects of this paper are the dimensional and the descriptive properties of the layers $B_r$.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 54F15, 54F45, 54H05
  • Retrieve articles in all journals with MSC (1991): 54F15, 54F45, 54H05
Additional Information
  • Roman Pol
  • Affiliation: Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland
  • Email: pol@mimuw.edu.pl
  • Mirosława Reńska
  • Affiliation: Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland
  • Email: mrenska@mimuw.edu.pl
  • Received by editor(s): September 5, 2000
  • Received by editor(s) in revised form: October 5, 2001
  • Published electronically: March 6, 2002
  • Additional Notes: Research partially supported by KBN grant 5 P03A 024 20
  • © Copyright 2002 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 354 (2002), 2921-2932
  • MSC (1991): Primary 54F15, 54F45, 54H05
  • DOI: https://doi.org/10.1090/S0002-9947-02-02959-8
  • MathSciNet review: 1895209