query: partition of an infinite set with copies
positive_passages.docid: 53707
positive_passages.text: Prove that if $A$ is an infinite set then $A \times 2$ is equipotent to $A$
negative_passages.docid: 7733
negative_passages.text: If A is infinite, does there have to exist a subset of A that is equivalent to A?
negative_passages.docid: 94825
negative_passages.text: Open set as a finite union of closed sets
negative_passages.docid: 122947
negative_passages.text: What is the cardinality of the set of infinite cardinalities?
negative_passages.docid: 28496
negative_passages.text: Generating the partitions of a number
negative_passages.docid: 107641
negative_passages.text: Show that an infinite set of families are linearly independent
negative_passages.docid: 48797
negative_passages.text: Proving Two Sets are Equal - Infinite Sets - Example
negative_passages.docid: 132868
negative_passages.text: Bijection between an infinite set and its union of a countably infinite set
negative_passages.docid: 125411
negative_passages.text: Infinite set always has a countably infinite subset
negative_passages.docid: 147484
negative_passages.text: For a set with N members, what is the number of set partitions in which each subset is either of size 1 or 2?
negative_passages.docid: 121860
negative_passages.text: Number of well-ordering relations on a well-orderable infinite set $A$?
negative_passages.docid: 31969
negative_passages.text: Partition of N into infinite number of infinite disjoint sets?
negative_passages.docid: 72213
negative_passages.text: Can a $N-1$ rectifiable set be partitioned into countably many connected pieces?
negative_passages.docid: 69838
negative_passages.text: Does a countably infinite power set exist?
negative_passages.docid: 106455
negative_passages.text: intersection of infinite collection of finite sets?
negative_passages.docid: 152382
negative_passages.text: Can an infinite set A be larger than an infinite set B but still have the same cardinality?
negative_passages.docid: 72591
negative_passages.text: Find a bijection to prove a fact about integer partitions