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Cardinal p and a theorem of Pelczynski
Published Web Location
https://arxiv.org/pdf/math/0006197.pdfNo data is associated with this publication.
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).