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#cantor's_isomorphism_theorem

Cantor's isomorphism theorem

Uniqueness of countable dense linear orders

In order theory and model theory, branches of mathematics, Cantor's isomorphism theorem states that every two countable dense unbounded linear orders are order-isomorphic. For instance, Minkowski's question-mark function produces an isomorphism between the numerical ordering of the rational numbers and the numerical ordering of the dyadic rationals.

Sun 28th

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Cantor's isomorphism theorem Order isomorphism Cantor's theorem (disambiguation) Cantor–Bernstein theorem Kruskal's tree theorem Categorical theory Schröder–Bernstein theorem Cantor's theorem Lattice (order) Dilworth's theorem

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