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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A universal hereditarily indecomposable continuum


Author: Tadeusz Maćkowiak
Journal: Proc. Amer. Math. Soc. 94 (1985), 167-172
MSC: Primary 54F20; Secondary 54B25, 54F15, 54F45
DOI: https://doi.org/10.1090/S0002-9939-1985-0781076-0
MathSciNet review: 781076
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Abstract: It is proved that there exists a hereditarily indecomposable metric continuum $ X$ containing a homeomorphic copy of every hereditarily indecomposable metric continuum. This is a solution of a problem (Problem 125 by H. Cook in University of Houston Problems Book) recalled in $ [4,\S21]$. A similar result was announced by P. Mine.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1985-0781076-0
Keywords: Universal continuum, hereditarily indecomposable continuum
Article copyright: © Copyright 1985 American Mathematical Society