Article ID Journal Published Year Pages File Type
9517009 Topology and its Applications 2005 15 Pages PDF
Abstract
We construct a family {Ys:s∈S} of cardinality 2ℵ0 of hereditarily indecomposable continua which are: (a) n-dimensional Cantor manifolds, for any given natural number n, or (b) hereditarily strongly infinite-dimensional Cantor manifolds, or else (c) countable-dimensional continua of every given transfinite inductive dimension, small or large, such that if h:Ys→Ys′ is an embedding then s=s′ and h is the identity.
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Authors
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