On hereditarily indecomposable continua, Henderson compacta and a question of Yohe
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Abstract:
We answer a question of Yohe by showing that there exists a family of continuum many topologically different hereditarily indecomposable Cantor manifolds without any non-trivial weakly infinite-dimensional subcontinua. This family may consist either of compacta containing one-dimensional subsets or of compacta containing no weakly infinite-dimensional subsets of positive dimension.References
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Additional Information
- Elżbieta Pol
- Affiliation: Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland
- Email: pol@mimuw.edu.pl
- Received by editor(s): August 23, 2000
- Received by editor(s) in revised form: April 4, 2001
- Published electronically: February 4, 2002
- Additional Notes: The author’s research was partially supported by KBN grant 5 P03A 024 20
- Communicated by: Alan Dow
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 2789-2795
- MSC (2000): Primary 54F15, 54F45
- DOI: https://doi.org/10.1090/S0002-9939-02-06378-5
- MathSciNet review: 1900886