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Continuity of Mendelsohn and Steiner triple systems

✍ Scribed by M.J. Grannell; T.S. Griggs; J.S. Phelan

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 338 KB
Volume: 138
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(94)00206-x

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✦ Synopsis

By adopting a functional viewpoint of Mendelsohn and Steiner triple systems, questions of continuity are investigated. The main result is that at most one section ofa Steiner triple system defined on the real line can be continuous. Applying the concept of continuity to finite systems a complete characterization of continuous, finite Mendelsohn and Steiner triple systems is obtained.

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