Axiom:Axiom of K-Approximation
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Definition
Let $\struct {S, \preceq}$ be an ordered set.
The axiom of $K$-approximation says
- $\forall x \in S: x = \map \sup {x^{\mathrm{compact} } }$
where $x^{\mathrm{compact} }$ denotes the compact closure of $x$.
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_8:def 3