Concept information
Terme préférentiel
inductive dimension
Définition
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In the mathematical field of topology, the inductive dimension of a topological space X is either of two values, the small inductive dimension ind(X) or the large inductive dimension Ind(X). These are based on the observation that, in n-dimensional Euclidean space Rn , (n − 1)-dimensional spheres (that is, the boundaries of n-dimensional balls) have dimension n − 1. Therefore it should be possible to define the dimension of a space inductively in terms of the dimensions of the boundaries of suitable open sets.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Inductive_dimension))
Concept générique
Traductions
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français
URI
http://data.loterre.fr/ark:/67375/PSR-N67314KQ-Z
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