О змеевидных бикомпактах
On uniform paracompactness
Perfect compactifications of functions
We prove that the maximal Hausdorff compactification of a -compactifiable mapping and the maximal Tychonoff compactification of a Tychonoff mapping (see [P]) are perfect. This allows us to give a characterization of all perfect Hausdorff (respectively, all perfect Tychonoff) compactifications of a -compactifiable (respectively, of a Tychonoff) mapping, which is a generalization of two results of Skljarenko [S] for the Hausdorff compactifications of Tychonoff spaces.
Magill-type theorems for mappings.
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