Blei, Ron C.; Schmerl, James H. Combinatorial dimension of fractional Cartesian products. (English) Zbl 0788.90048 Proc. Am. Math. Soc. 120, No. 1, 73-77 (1994). Summary: The combinatorial dimension of a fractional Cartesian product is the optimal value of an associated linear programming problem. Cited in 3 Documents MSC: 90C05 Linear programming 05C65 Hypergraphs 43A46 Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) 05C70 Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) Keywords:combinatorial dimension; fractional Cartesian product PDFBibTeX XMLCite \textit{R. C. Blei} and \textit{J. H. Schmerl}, Proc. Am. Math. Soc. 120, No. 1, 73--77 (1994; Zbl 0788.90048) Full Text: DOI References: [1] Ron C. Blei, Fractional Cartesian products of sets, Ann. Inst. Fourier (Grenoble) 29 (1979), no. 2, v, 79 – 105 (English, with French summary). · Zbl 0381.43003 [2] Ron Blei, Combinatorial dimension and certain norms in harmonic analysis, Amer. J. Math. 106 (1984), no. 4, 847 – 887. · Zbl 0579.43010 · doi:10.2307/2374326 [3] Ron C. Blei, Fractional dimensions and bounded fractional forms, Mem. Amer. Math. Soc. 57 (1985), no. 331, iv+69. · Zbl 0623.26015 · doi:10.1090/memo/0331 [4] Ron C. Blei, Stochastic integrators indexed by a multi-dimensional parameter, Probab. Theory Related Fields 95 (1993), no. 2, 141 – 153. · Zbl 0792.60044 · doi:10.1007/BF01192267 [5] R. C. Blei and T. W. Körner, Combinatorial dimension and random sets, Israel J. Math. 47 (1984), no. 1, 65 – 74. · Zbl 0533.43002 · doi:10.1007/BF02760562 [6] Ron C. Blei and J.-P. Kahane, A computation of the Littlewood exponent of stochastic processes, Math. Proc. Cambridge Philos. Soc. 103 (1988), no. 2, 367 – 370. · Zbl 0654.60006 · doi:10.1017/S030500410006494X This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.