query: A subset that is closed under multiplication but not addition?
positive_passages.docid: 157684
positive_passages.text: About closure under +
negative_passages.docid: 100977
negative_passages.text: Infinite subset with pairwise comprime elements
negative_passages.docid: 158569
negative_passages.text: Proving a particular subset of $R^n$ is closed
negative_passages.docid: 89749
negative_passages.text: Example of a not recursively enumerable set $A \subseteq \mathbb{N}$
negative_passages.docid: 132382
negative_passages.text: Showing a set is nowhere dense in $C([0,1])$
negative_passages.docid: 123613
negative_passages.text: Double Complement of a set proof
negative_passages.docid: 10472
negative_passages.text: Is every set a subset?
negative_passages.docid: 50846
negative_passages.text: Is a set without limit points necessarily closed?
negative_passages.docid: 78117
negative_passages.text: Closed property of nonempty finite set
negative_passages.docid: 10180
negative_passages.text: How to prove that this set is closed?
negative_passages.docid: 46698
negative_passages.text: Showing a set is closed under inverses
negative_passages.docid: 21114
negative_passages.text: $S=\{(n,{1\over n}):n\in\mathbb{N}\}$ is closed in $X$?
negative_passages.docid: 81927
negative_passages.text: Example of closed and bounded in $\mathbb Q$ set that is not compact
negative_passages.docid: 110957
negative_passages.text: No non-trivial clopen sets in $\mathbb{R}$? How to give a direct proof?
negative_passages.docid: 5022
negative_passages.text: Can a set containing $0$ be purely imaginary?
negative_passages.docid: 11405
negative_passages.text: If a nonempty set of real numbers is open and closed, is it $\mathbb{R}$? Why/Why not?
negative_passages.docid: 3392
negative_passages.text: Sum of products of elements of nonempty subsets of A set