query: Connectedness ( cardinality and connectedness)
positive_passages.docid: 84791
positive_passages.text: Is every connected metric space with at least two points uncountable?
negative_passages.docid: 108957
negative_passages.text: Cardinality of a totally ordered union
negative_passages.docid: 272
negative_passages.text: Cantor Sets/nonempty/cardinality
negative_passages.docid: 149980
negative_passages.text: Are there any countable Hausdorff connected spaces?
negative_passages.docid: 36184
negative_passages.text: Countability of disjoint intervals
negative_passages.docid: 68230
negative_passages.text: The cardinality of a countable union of sets with less than continuum cardinality
negative_passages.docid: 114599
negative_passages.text: $A \cup B$ and $A \cap B$ connected $\implies A$ and $B$ are connected
negative_passages.docid: 106325
negative_passages.text: Question about Cardinality
negative_passages.docid: 40071
negative_passages.text: What is the cardinality of the set of all topologies on $\mathbb{R}$?
negative_passages.docid: 9158
negative_passages.text: Proving that a propositional theory of any cardinality has an independent set of axioms
negative_passages.docid: 108922
negative_passages.text: Cardinality and infinite sets: naturals, integers, rationals, bijections
negative_passages.docid: 79974
negative_passages.text: The cardinality of Lebesgue sets
negative_passages.docid: 32081
negative_passages.text: The dual version of trichotomy of cardinality without AC
negative_passages.docid: 35069
negative_passages.text: Connectedness of the boundary
negative_passages.docid: 44214
negative_passages.text: The number of subsets of a set of cardinality $n$
negative_passages.docid: 70143
negative_passages.text: Mutually exclusive countable subsets of a countable set
negative_passages.docid: 122506
negative_passages.text: Relation on countable sets