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Embedding uniformly convex spaces into spaces with very few operators

✍ Scribed by S.A. Argyros; D. Freeman; R. Haydon; E. Odell; Th. Raikoftsalis; Th. Schlumprecht; D. Zisimopoulou


Book ID
113710163
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
255 KB
Volume
262
Category
Article
ISSN
0022-1236

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Embedding compact spaces into compact sp
✍ George Delistathis πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 479 KB

It is shown that every compact space X can be embedded as a retract of a compact space Y so that every regular open Baire subset of Y is clopen. Furthermore, if X is a continuum, Y is a continuum as well and Y has only two regular open Baire subsets. This extends a result of V.V. FedorZuk.