Perfect countably infinite Steiner triple systems

Cameron, Peter and Webb, Bridget (2012). Perfect countably infinite Steiner triple systems. Australasian Journal of Combinatorics, 54 pp. 273–278.

URL: http://ajc.maths.uq.edu.au

Abstract

We use a free construction to prove the existence of perfect Steiner triple systems on a countably infinite point set. We use a specific countably infinite family of partial Steiner triple systems to start the construction, thus yielding 2^ℵ0 non-isomorphic perfect systems.

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