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FINITE COVERS, COHOMOLOGY AND HOMOGENEOUS STRUCTURES

Published online by Cambridge University Press:  01 January 1999

A. A. IVANOV
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Abstract

In the paper we study finite covers of countable $\omega$-categorical structures by means of $\omega$-categorical expansions of bases. It is shown that the cohomology approach of P. Cameron to two-graphs can be applied to covers of some wide class of structures. For example, it works for some reducts of orderings and hypergraphs. The finite covers of the countable highly homogeneous structures and the reducts of the countable random graph are classified.

Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 78 , Issue 1 , January 1999 , pp. 1 - 28
Copyright
© 1999 The London Mathematical Society

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