Abstract
Recall that LengthA is the sup of cardinalities of subsets of A which are simply ordered by the Boolean ordering. For references see the beginning of Chapter 4. The analysis of Length is similar to that for Depth; many of the proofs are similar, but there are some differences. To take care of the first problem, attainment of Length, we need two small lemmas about orderings:
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© 1996 Springer Basel AG
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Monk, J.D. (1996). Length. In: Cardinal Invariants on Boolean Algebras. Progress in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0346-0334-8_8
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DOI: https://doi.org/10.1007/978-3-0346-0334-8_8
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0346-0333-1
Online ISBN: 978-3-0346-0334-8
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