Closed subsets of the square whose inverse limit is the Hilbert cube
Volume 152 / 2018
Colloquium Mathematicum 152 (2018), 29-44
MSC: Primary 54F15, 54H20, 54B10.
DOI: 10.4064/cm6592-3-2017
Published online: 22 January 2018
Abstract
We exhibit a family of closed subsets of $[0,1]^2$ whose generalized inverse limit is homeomorphic to the Hilbert cube. We also study the inverse limits of the closed subsets of $[0,1]^2$ that are straight quadrilaterals.
