Abstract
A partially ordered set A is said to be directed upward (downward) whenever for every two elements α1, α2 ∈ A there is an element α ∈ A such that the following relations hold simultaneously:1 α ≻ α1 and α ≻ -α2 (α ≺ αl and α ≺α2).
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© 2002 Springer Science+Business Media Dordrecht
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Vladimirov, D.A. (2002). Topologies on Boolean Algebras. In: Boolean Algebras in Analysis. Mathematics and Its Applications, vol 540. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0936-1_5
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DOI: https://doi.org/10.1007/978-94-017-0936-1_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5961-1
Online ISBN: 978-94-017-0936-1
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