Abstract
A body ℬ is a set that has a topological structure and a measure structure. It is assumed to be a ρ-finite measure space with a nonnegative measure μ(Ƥ) defined over a ρ-ring of subsets Ƥ of ℬ called subparts of the body. The open sets of ℬ are assumed to be the ρ-ring of sets. The members of the smallest ρ-ring containing the open sets are called Borel sets of ℬ.
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© 2009 Birkhäuser Boston, a part of Springer Science+Business Media, LLC
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Truesdell, C., Rajagopal, K.R. (2009). Bodies, Configurations, and Motions. In: An Introduction to the Mechanics of Fluids. Modern Birkhäuser CIassics. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4846-6_1
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DOI: https://doi.org/10.1007/978-0-8176-4846-6_1
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4845-9
Online ISBN: 978-0-8176-4846-6
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