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