Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On the dimensional structure of hereditarily indecomposable continua


Authors: Roman Pol and Miroslawa Renska
Journal: Trans. Amer. Math. Soc. 354 (2002), 2921-2932
MSC (1991): Primary 54F15, 54F45, 54H05
Published electronically: March 6, 2002
MathSciNet review: 1895209
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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


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

Miroslawa Renska
Affiliation: Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland
Email: mrenska@mimuw.edu.pl

DOI: http://dx.doi.org/10.1090/S0002-9947-02-02959-8
PII: S 0002-9947(02)02959-8
Keywords: Hereditarily indecomposable continua, dimension, Borel sets
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
Article copyright: © Copyright 2002 American Mathematical Society