最大的Tychonoff空间和正常的隔离罩

Publications De L'institut Mathematique Pub Date : 1900-01-01 DOI:10.2298/PIM1613217B

C. K. Basu, S. Mandal

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引用次数: 0

摘要

我们引入了一种称为正规隔离盖的新盖来表征极大的Tychonoff空间。这样的研究被用来为Feng和Garcia-Ferreira在1999年的一个有趣的结果提供另一种证明，即每个极大的Tychonoff空间都是极端不连通的。讨论了子空间的极大可拓性。

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Maximal Tychonoff spaces and normal isolator covers

We introduce a new kind of cover called a normal isolator cover to characterize maximal Tychonoff spaces. Such a study is used to provide an alternative proof of an interesting result of Feng and Garcia-Ferreira in 1999 that every maximal Tychonoff space is extremally disconnected. Maximal tychonoffness of subspaces is also discussed.

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Publications De L'institut Mathematique

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