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Transfer of information about \(\beta\) N - N via open remainder maps

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Publication:921654
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zbMath0709.54020MaRDI QIDQ921654

Eric K. van Douwen

Publication date: 1990

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

ZFCBaire numberP-points\({\mathfrak c}\)-points\(\sigma \) -compact and non- pseudocompact spaces\(G_{\delta }\)- subsetsCech-Stone remainder of the countable discrete spaceČech-Stone remainders of locally compact realcompact spacesHausdorff gapsminimum characterOpen Mapping Lemmaopen retrationspaces of uniform ultrafiltersStone extension


Mathematics Subject Classification ID

Realcompactness and realcompactification (54D60) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Remainders in general topology (54D40) Consistency and independence results in general topology (54A35)


Related Items (4)

Spaces of remote points ⋮ Supercompact spaces ⋮ Distributivity of the algebra of regular open subsets of \(\beta\mathbb R\setminus \mathbb R\) ⋮ On question \(Q\)47




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