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Joonas Ilmavirta
Joonas Ilmavirta
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additive-combinatorics Sets of natural numbers with finite intersections and divergent sums of reciprocals

Does there exist an uncountable collection \Lambda of$\Lambda$ of infinite subsets of the set of Naturalnatural numbers such that (i) any two distinct subsets in the collection have a finite intersection and (ii) the sum of the reciprocals is divergent for each A in \Lambda $A \in \Lambda$?

additive-combinatorics

Does there exist an uncountable collection \Lambda of infinite subsets of the set of Natural numbers such that (i) any two distinct subsets in the collection have a finite intersection and (ii) the sum of the reciprocals is divergent for each A in \Lambda ?

Sets of natural numbers with finite intersections and divergent sums of reciprocals

Does there exist an uncountable collection $\Lambda$ of infinite subsets of the set of natural numbers such that (i) any two distinct subsets in the collection have a finite intersection and (ii) the sum of the reciprocals is divergent for each $A \in \Lambda$?

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Raj Parthasarathy
Raj Parthasarathy
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additive-combinatorics

Does there exist an uncountable collection \Lambda of infinite subsets of the set of Natural numbers such that (i) any two distinct subsets in the collection have a finite intersection and (ii) the sum of the reciprocals is divergent for each A in \Lambda ?