9. Dimension Theory I: Vector Dimension and Topological Dimension
The seventh general mathematical framework is that of dimension theory, which is an interdisciplinary branch of mathematics related in particular to linear algebra and general topology.
9.1 Dimension of a vector space
The dimension of a vector space, or Hamel dimension, is the cardinality common to all its vector bases (i.e., the number of vectors in each of these bases, or the number of coordinates needed to specify any vector).
9.2 Dimension of a topological space
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Dimension Theory I: Vector Dimension and Topological Dimension
Geometric Measure Theory I: Measures
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