Vipul: Created page with '{{natural number subset property}} ==Definition== A subset $S$ of the set of natural numbers $\mathbb{N}$ is termed a '''small set''' if the sum of the re...'

2009-05-07T17:54:56Z

Created page with '{{natural number subset property}} ==Definition== A subset <math>S</math> of the set of natural numbers <math>\mathbb{N}</math> is termed a '''small set''' if the sum of the re...'

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{{natural number subset property}}

==Definition==

A subset <math>S</math> of the set of natural numbers <math>\mathbb{N}</math> is termed a '''small set''' if the sum of the reciprocals of the elements of <math>S</math> converges.

Note that the property of being a small set is unchanged upon the addition or removal of finitely many elements.

==Relation with other properties==

===Stronger properties===

* Finite subset of the natural numbers.

===Opposite properties===

* [[Large set]]

Small set - Revision history

Vipul: Created page with '{{natural number subset property}} ==Definition== A subset S of the set of natural numbers \mathbb{N} is termed a '''small set''' if the sum of the re...'

Vipul: Created page with '{{natural number subset property}} ==Definition== A subset $S$ of the set of natural numbers $\mathbb{N}$ is termed a '''small set''' if the sum of the re...'