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A note on mappings of extremally disconnected spaces

✍ Scribed by D. S. Janković


Publisher
Akadmiai Kiad
Year
1985
Tongue
English
Weight
616 KB
Volume
46
Category
Article
ISSN
1588-2632

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On mappings of compact spaces into Carte
✍ Semeon A. Bogatyi; Vitaly V. Fedorchuk; Jan van Mill 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 114 KB

Eilenberg proved that if a compact space X admits a zero-dimensional map f :X → Y , where Y is m-dimensional, then there exists a map h :X → I m+1 such that f × h :X → Y × I m+1 is an embedding. In this paper we prove generalizations of this result for σ -compact subsets of arbitrary spaces. An exam