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Definition 14

[06M] (Solved on 2022-11-24) Let \((X,≀)\) be a (partially) ordered set, we will say that it is filtering 1 if

\begin{equation} \label{eq:filtrante} βˆ€ x,y∈ X ~ βˆƒ z∈ X,~ x< z∧ y< z\quad . \end{equation}
15

  1. As defined in Definition 4.2.1 of the notes [ 3 ] . It is also called strongly directed set.
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Authors: "Mennucci , Andrea C. G." .
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  • order, directed
  • order, with filtering property
  • order
  • order, with filtering property
  • filtering property , see order, with filtering property
  • strongly directed set , see order, with filtering property
  • set, strongly directed , see order, with filtering property
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