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Additively indecomposable ordinal

Index Additively indecomposable ordinal

In set theory, a branch of mathematics, an additively indecomposable ordinal α is any ordinal number that is not 0 such that for any \beta,\gamma, we have \beta+\gamma Additively indecomposable ordinals are also called gamma numbers. [1]

10 relations: Cardinal number, Epsilon numbers (mathematics), Finite set, Fixed point (mathematics), Infinite set, Mathematics, Ordinal arithmetic, Ordinal number, Sequence, Set theory.

Cardinal number

In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality (size) of sets.

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Epsilon numbers (mathematics)

In mathematics, the epsilon numbers are a collection of transfinite numbers whose defining property is that they are fixed points of an exponential map.

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Finite set

In mathematics, a finite set is a set that has a finite number of elements.

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Fixed point (mathematics)

In mathematics, a fixed point (sometimes shortened to fixpoint, also known as an invariant point) of a function is an element of the function's domain that is mapped to itself by the function.

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Infinite set

In set theory, an infinite set is a set that is not a finite set.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Ordinal arithmetic

In the mathematical field of set theory, ordinal arithmetic describes the three usual operations on ordinal numbers: addition, multiplication, and exponentiation.

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Ordinal number

In set theory, an ordinal number, or ordinal, is one generalization of the concept of a natural number that is used to describe a way to arrange a collection of objects in order, one after another.

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Sequence

In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed.

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Set theory

Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.

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Additively indecomposable, Delta number, Indecomposable ordinal.

References

[1] https://en.wikipedia.org/wiki/Additively_indecomposable_ordinal

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