That is to say, it is the Analogue of Space, not in the sense in which we formerly regarded Space as the negation of Matter; but in the sense of Infinite Dimensionality, or of Dimensionality in all directions, as a vague generalization from the three spatial dimensions Length, Breadth, and Thickness.
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This often happens, for example, when a two-dimensional solution is obtained for data whose appropriate dimensionality is higher.
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Finite Dimensionality of de Rham Cohomology:
Proposition 5.3.1. If the manifold M has a finite good cover, then its cohomology is finite dimensional.
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As well as the low dimensionality of the Bloch electron states, […]
Source: wiktionary
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