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searching for Limit cardinal 5 found (20 total)

Grothendieck universe (1,264 words) [view diff] exact match in snippet view article find links to article

zero or strongly inaccessible. Assuming it is non-zero, it is a strong limit cardinal because the power set of any element of U is an element of U and every

Mahlo cardinal (2,320 words) [view diff] exact match in snippet view article find links to article

which is less than κ because it is a strong limit cardinal. Then their limit is a strong limit cardinal and is less than κ by its regularity. The limits

Measurable cardinal (1,775 words) [view diff] exact match in snippet view article find links to article

Thus, assuming the Axiom of Choice, we can infer that κ is a strong limit cardinal, which completes the proof of its inaccessibility. Although it follows

Rami Grossberg (577 words) [view diff] exact match in snippet view article find links to article

cardinality of the abelian group Extp(G, Z) at the first singular strong limit cardinal. In 1986, Grossberg attained his doctorate from the University of Jerusalem

List of unsolved problems in mathematics (19,531 words) [view diff] exact match in snippet view article find links to article

hypothesis imply the existence of an ℵ2-Suslin tree? If ℵω is a strong limit cardinal, is 2 ℵ ω < ℵ ω 1 {\displaystyle 2^{\aleph _{\omega }}<\aleph _{\omega