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Cardinal p and a theorem of Pelczynski | Mikhail Matveev
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26 Jun 2000 | Subject: | General Topology | math.GN | 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). | Source: | arXiv, math.GN/0006197 | Services: | Forum | Review | PDF | Favorites |
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