Similar sets

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A generalization of the elementary geometrical concept of a similarity. Two sets and that are totally ordered by relations and are said to be similar if there exists a bijection such that for any it follows from that .


An equivalence class of totally ordered sets under the relation of similarity is often called an order type (cf. also Totally ordered set; Order type).

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Similar sets. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article