Definition:Way Below Closure
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Definition
Let $\struct {S, \preceq}$ be an ordered set.
Let $x \in S$.
The way below closure of $x$, denoted by $x^\ll$, is defined by
- $x^\ll := \set {y \in S: y \ll x}$
where $y \ll x$ denotes that $y$ is way below $x$.
Sources
- 1980: G. Gierz, K.H. Hofmann, K. Keimel, J.D. Lawson, M.W. Mislove and D.S. Scott: A Compendium of Continuous Lattices
- Mizar article WAYBEL_3:def 3