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On Combinatorial Cubes |
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| Authors: | |
| Institution: | (1) ELTE TFK, Department of Mathematics, University Eötvös L., Budapest, Pázmány, P. st. 1./C, P.O. Box 120, H-1518, Hungary |
| Abstract: | 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 this bound is sharp for some thinner sequence. |
| Keywords: | Hilbert cube combinatorial cube arithmetic progression non-constructive method |
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