Displaying similar documents to “On the integration on σ -classes”

Sequential completeness of subspaces of products of two cardinals

Roman Frič, Nobuyuki Kemoto (1999)

Czechoslovak Mathematical Journal

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Let κ be a cardinal number with the usual order topology. We prove that all subspaces of κ 2 are weakly sequentially complete and, as a corollary, all subspaces of ω 1 2 are sequentially complete. Moreover we show that a subspace of ( ω 1 + 1 ) 2 need not be sequentially complete, but note that X = A × B is sequentially complete whenever A and B are subspaces of κ .