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===Meaning in topology=== In [[topology]]{{r|Oxtoby}} and especially [[dynamical systems theory]]{{r|Baratchart|Broer|Sharkovsky}} (including applications in economics),{{r|Yuan}} "almost all" of a [[topological space]]'s points can mean "all of the space's points except for those in a [[meagre set]]". Some use a more limited definition, where a subset contains almost all of the space's points only if it contains some [[Open set|open]] [[dense set]].{{r|Broer|Albertini|Fuente}} Example: * Given an [[hyperconnected space|irreducible]] [[algebraic variety]], the [[Property (mathematics)|properties]] that hold for almost all points in the variety are exactly the [[generic property|generic properties]].{{r|Ito1|group=sec}} This is due to the fact that in an irreducible algebraic variety equipped with the [[Zariski topology]], all nonempty open sets are dense.
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