A new subcontinuum of
Authors: Alan Dow and Klaas Pieter Hart
Journal: Proc. Amer. Math. Soc. 125 (1997), 1861-1871
MSC (1991): Primary 54D40, 54F15; Secondary 04A30, 54G05
MathSciNet review: 1415584
Abstract: We present a method for describing all indecomposable subcontinua of . This method enables us to construct in a new subcontinuum of .
We also show that the nontrivial layers of standard subcontinua can be described by our method. This allows us to construct a layer with a proper dense -subset and bring the number of (known) nonhomeomorphic subcontinua of to 14.
Affiliation: Department of Mathematics, York University, 4700 Keele Street, North York, Ontario, Canada M3J 1P3
Klaas Pieter Hart
Affiliation: Faculty of Technical Mathematics and Informatics, TU Delft, Postbus 5031, 2600 GA Delft, The Netherlands
Keywords: Continuum, indecomposable continuum, shift on~$\omega^*$, Continuum Hypothesis
Received by editor(s): December 17, 1995
Communicated by: Franklin D. Tall
Article copyright: © Copyright 1997 American Mathematical Society