𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Rigid sets in the Hilbert cube

✍ Scribed by Jack W. Lamoreaux; David G. Wright


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
828 KB
Volume
22
Category
Article
ISSN
0166-8641

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


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.

On the Dimension of the Hilbert Cubes
✍ Norbert HegyvΓ‘ri πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 90 KB

A sequence of positive integers with positive lower density contains a Hilbert (or combinatorial) cube size c log log n up to n. We prove that c log log n cannot be replaced by c$ -log n log log n. ## 1999 Academic Press In [1] D. Hilbert showed (using different terminology) that for any k 1, if N