A piecewise Toronto space
Author: Lajos Soukup
Source: Studia Scientiarum Mathematicarum Hungarica, Volume 41, Number 3, 9 August 2004 , pp. 325-337(13)
Publisher: Akademiai Kiado
Abstract:
We show that it is consistent that there is a hereditarily separable, 0-dimensional T2 space X of cardinality
1 such that for each uncountable subspace Y of X there is a continuous bijection
: Y
X and there is a partition (Yi)i<n of Y into finitely many pieces such that
YI is a homeomorphism for each i<n.
Keywords: Toronto space; homeomorphic; hereditarily separable; independent result; forcing; iterated forcing; piecewise
Document Type: Research article
Publication date: 2004-08-09
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