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Θ (set theory) and Surjective function

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Θ (set theory) and Surjective function

Θ (set theory) vs. Surjective function

In set theory, Θ (pronounced like the letter theta) is the least nonzero ordinal α such that there is no surjection from the reals onto α. If the axiom of choice (AC) holds (or even if the reals can be wellordered), then Θ is simply (2^)^+, the cardinal successor of the cardinality of the continuum. In mathematics, a function f from a set X to a set Y is surjective (or onto), or a surjection, if for every element y in the codomain Y of f there is at least one element x in the domain X of f such that f(x).

Similarities between Θ (set theory) and Surjective function

Θ (set theory) and Surjective function have 2 things in common (in Unionpedia): Axiom of choice, Injective function.

Axiom of choice

In mathematics, the axiom of choice, or AC, is an axiom of set theory equivalent to the statement that the Cartesian product of a collection of non-empty sets is non-empty.

Θ (set theory) and Axiom of choice · Axiom of choice and Surjective function · See more »

Injective function

In mathematics, an injective function or injection or one-to-one function is a function that preserves distinctness: it never maps distinct elements of its domain to the same element of its codomain.

Θ (set theory) and Injective function · Injective function and Surjective function · See more »

The list above answers the following questions

Θ (set theory) and Surjective function Comparison

Θ (set theory) has 17 relations, while Surjective function has 59. As they have in common 2, the Jaccard index is 2.63% = 2 / (17 + 59).

References

This article shows the relationship between Θ (set theory) and Surjective function. To access each article from which the information was extracted, please visit:

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