Perfect compactifications of functions
Perfect compactifications of functions
Generalizing to maps some results by \textit{E. G. Sklyarenko} [Sov. Math., Dokl. 2, 238--240 (1961; Zbl 0136.19502)] on perfect compactifications, the authors prove that a Tikhonov compactification \(bf\) of a mapping \(f\) is a perfect extension if the canonical mapping \(\beta f\to bf\) is monotone; thus the maximal compactification \(\beta f\) is perfect. Similarly for Hausdorff compactifications.
- University of Messina Italy
Extensions of spaces (compactifications, supercompactifications, completions, etc.), Special maps on topological spaces (open, closed, perfect, etc.), compactification of maps
Extensions of spaces (compactifications, supercompactifications, completions, etc.), Special maps on topological spaces (open, closed, perfect, etc.), compactification of maps
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