The Lebesgue covering dimension, also called the topological dimension, of a topological space is one of several ways of defining the dimension of a space in a manner that is invariant under continuous deformation. It is defined through open covers of the space, as the smallest number n such that every open cover of the space has a refinement in which no point lies in more than n plus one of the covering sets. Because this number does not change as the space is continuously deformed, it is invariant under homeomorphisms, making it a fundamental topological property of the space. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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Source Lebesgue covering dimension (Wikipedia)
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Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.
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1. Lebesgue covering dimension (Wikipedia)
Attributed To: Henri Lebesgue, Lead paragraphQuote, Attributed To: Henri Lebesgue, Lead paragraph
In mathematics, the Lebesgue covering dimension or topological dimension of a topological space is one of several different ways of defining the dimension
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