Cardinal p and a theorem of Pelczynski

Mikhail Matveev

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arXiv · math/0006197

Cardinal p and a theorem of Pelczynski

Mikhail Matveev

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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).

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Mikhail Matveev. 2000-06-26. Cardinal p and a theorem of Pelczynski. https://arxiv.org/abs/math/0006197

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