Submission date: 2 June 2014.

Abstract:

[The final publication is available at Springer via http://dx.doi.org/10.1007/s11083-014-9328-6]

We show that there are uncountably many countable lattices. We give a discussion of which such lattices can be modular or distributive. The method applies to show that certain other classes of structures also have uncountably many homogeneous structures.

Mathematics Subject Classification: 06A99

Keywords and phrases:

Full text arXiv 1406.0315: pdf, ps.