Cardinal p and a theorem of Pelczynski

Mikhail Matveev

Cardinal p and a theorem of Pelczynski

General Topology 2007-05-23 v1

Authors: Mikhail Matveev

Abstract

We 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).

Keywords

cardinal invariant p compactification countable discrete space remainder consistency result cardinality of continuum

Cite

@article{arxiv.math/0006197,
  title  = {Cardinal p and a theorem of Pelczynski},
  author = {Mikhail Matveev},
  journal= {arXiv preprint arXiv:math/0006197},
  year   = {2007}
}

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