query: Bridge Between Series and Set Theory
positive_passages.docid: 152547
positive_passages.text: Is the sum of all natural numbers countable?
negative_passages.docid: 55659
negative_passages.text: Sum of closed and compact set in a TVS
negative_passages.docid: 81843
negative_passages.text: Sequences of sets property
negative_passages.docid: 120273
negative_passages.text: Showing that a collection of sets is a $\sigma$-algebra: either set or complement is countable
negative_passages.docid: 126015
negative_passages.text: Elementary number theory in sets
negative_passages.docid: 143756
negative_passages.text: Introduction to Analysis: Multiplication Theorem for Series
negative_passages.docid: 24050
negative_passages.text: Characterization of the Closure of a Set
negative_passages.docid: 112084
negative_passages.text: Proof of a formula for the power set of a union of two sets
negative_passages.docid: 104274
negative_passages.text: Express $C$ interms of the sets $A_n$
negative_passages.docid: 95042
negative_passages.text: Textbooks on set theory
negative_passages.docid: 40937
negative_passages.text: Is the set of partial order relations over $ \mathbb{N}$ countable?
negative_passages.docid: 101011
negative_passages.text: An intriguing relation between two alternating series
negative_passages.docid: 68230
negative_passages.text: The cardinality of a countable union of sets with less than continuum cardinality
negative_passages.docid: 22804
negative_passages.text: Interpretation of limsup-liminf of sets
negative_passages.docid: 145781
negative_passages.text: Is the collection of all functions between two sets a set?
negative_passages.docid: 144551
negative_passages.text: Exercise on infinite series: pointwise product between convergent serie and unbounded sequence
negative_passages.docid: 87830
negative_passages.text: Relating the union of the power set of a set to the set itself