We give a classification of all the countable, 1-transitive, coloured linear orderings for countable colour sets. This is a generalization of Morel's classification of the countable, 1-transitive linear orderings. For finite colour sets, there are R, examples and for countably infinite colour sets, there are 2(N0) (discussed in more detail in a subsequent paper (countable, 1-transitive, coloured linear orderings II, submitted)). We also include a classification of the countable homogeneous coloured linear orders. (C) 2003 Elsevier Inc. All rights reserved. [References: 6]
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