Cardinal p and a theorem of Pelczynski
نویسنده
چکیده
Are two compactifications of ω homeomorphic if their remainders are homeomorphic? For metrizable compactifications the question was answered affirmatively by Pelzcynski. Can the same happen for some non-metrizable remainders? We consider the case when the remainder is D for some uncountable τ . We show that the answer is affirmative if τ < p and negative if τ = c. We prove that every isomorphism between two subalgebras of P(ω)/fin is generated by a permutation of ω provided these subalgebras have independent basis of cardinality fewer than p. Also we consider some special dense countable subsets in D . AMS subject Classification: Primary 54D35; Secondary 54D65, 54A20, 03E10, 06E05
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