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Compact condensations of Hausdorff spaces
Acta Mathematica Hungarica ( IF 0.6 ) Pub Date : 2021-02-09 , DOI: 10.1007/s10474-021-01131-z V. I. Belugin , A. V. Osipov , E. G. Pytkeev
中文翻译:
Hausdorff空间的紧凑凝聚
更新日期:2021-02-09
Acta Mathematica Hungarica ( IF 0.6 ) Pub Date : 2021-02-09 , DOI: 10.1007/s10474-021-01131-z V. I. Belugin , A. V. Osipov , E. G. Pytkeev
We continue to study one of the classic problems in general topology raised by P. S. Alexandrov: when a Hausdorff space X has a continuous bijection (a condensation) onto a compactum? We concentrate on the situation when not only X but also \(X\setminus Y\) can be condensed onto a compactum whenever the cardinality of Y does not exceed certain \(\tau\).
中文翻译:
Hausdorff空间的紧凑凝聚
我们将继续研究PS Alexandrov提出的一般拓扑中的经典问题之一:当Hausdorff空间X在紧致物体上具有连续的双射(凝聚)时?我们专注于这种情况时,不仅X而且\(X \ setminus Y \)可以浓缩到每当致密的基数Ÿ不超过一定\(\ tau蛋白\) 。