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Hilbert cubes in progression-free sets and in the set of squares

✍ Scribed by Rainer Dietmann, Christian Elsholtz


Book ID
118819186
Publisher
The Hebrew University Magnes Press
Year
2012
Tongue
English
Weight
162 KB
Volume
192
Category
Article
ISSN
0021-2172

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πŸ“œ SIMILAR VOLUMES


Rigid sets in the Hilbert cube
✍ Jack W. Lamoreaux; David G. Wright πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 828 KB
Absorbing sets in the Hilbert cube relat
✍ Michael Zarichnyi πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 355 KB

We prove that for each countable Abelian group G and for each natural number n there exists an absorbing set in the Hilbert cube for the class of strongly finite-dimensional (in the sense of covering dimension) spaces X with dimG X < n. 0 1997 Elsevier Science B.V.