The Union of Congruent Cubes in Three Dimensions
β Scribed by Pach; Safruti; Sharir
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 379 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0179-5376
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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.