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Point sets with uniformity properties and orthogonal hypercubes

✍ Scribed by G. L. Mullen; G. Whittle

Publisher
Springer Vienna
Year
1992
Tongue
English
Weight
436 KB
Volume
113
Category
Article
ISSN
0026-9255

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πŸ“œ SIMILAR VOLUMES

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Mutually orthogonal sets of hypercubes are higher dimensional generalizations of mutually orthogonal sets of Latin squares. For Latin squares, it is well known that the Cayley table of a group of order n is a Latin square, which has no orthogonal mate if n is congruent to 2 modulo 4. We will prove a

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## Abstract We extend the notion of a framed net, introduced by D. Jungnickel, V. C. Mavron, and T. P. McDonough, J Combinatorial Theory A, 96 (2001), 376–387, to that of a __d__‐framed net of type β„“, where __d__ β‰₯ 2 and 1 ≀ ℓ ≀ __d__‐1, and we establish a correspondence between __d__‐framed nets o

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We use a newly introduced concept of neocompactness to study problems from metric fixed point theory. In particular, we give a sufficient condition for a superreflexive Banach space X to have the fixed point property and obtain shorter proofs of some well-known results in that theory.  2002 Elsevie