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Metanavigation: 

Dimension in topological structures: topological closure and local property

Immanuel Halupczok, Antongiulio Fornasiero,
published 2011-06-22

Let K be a first-order structure with a dimension function, satisfying some natural conditions. Let A be a definable set. If every point in A has a definable neighbourhood in A with dimension less than p, then A has dimension less than p.

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