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26 April 2024
 
  » arxiv » math.GN/0006197

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Cardinal p and a theorem of Pelczynski
Mikhail Matveev ;
Date 26 Jun 2000
Subject General Topology | math.GN
AbstractWe show that it is consistent that for some uncountable cardinal k, all compactifications of the countable discrete space with remainders homeomorphic to $D^k$ are homeomorphic to each other. On the other hand, there are $2^c$ pairwise non-homeomorphic compactifications of the countable discrete space with remainders homeomorphic to $D^c$ (where c is the cardinality of the continuum).
Source arXiv, math.GN/0006197
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