Ordinal number and Perfect set property

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

Difference between Ordinal number and Perfect set property

Ordinal number vs. Perfect set property

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. In descriptive set theory, a subset of a Polish space has the perfect set property if it is either countable or has a nonempty perfect subset (Kechris 1995, p. 150).

Similarities between Ordinal number and Perfect set property

Ordinal number and Perfect set property have 4 things in common (in Unionpedia): Axiom of choice, Springer Science+Business Media, Subset, Uncountable set.

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.

Axiom of choice and Ordinal number · Axiom of choice and Perfect set property · See more »

Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

Ordinal number and Springer Science+Business Media · Perfect set property and Springer Science+Business Media · See more »

Subset

In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.

Ordinal number and Subset · Perfect set property and Subset · See more »

Uncountable set

In mathematics, an uncountable set (or uncountably infinite set) is an infinite set that contains too many elements to be countable.

Ordinal number and Uncountable set · Perfect set property and Uncountable set · See more »

The list above answers the following questions

What Ordinal number and Perfect set property have in common
What are the similarities between Ordinal number and Perfect set property

Ordinal number and Perfect set property Comparison

Ordinal number has 83 relations, while Perfect set property has 20. As they have in common 4, the Jaccard index is 3.88% = 4 / (83 + 20).

References

This article shows the relationship between Ordinal number and Perfect set property. To access each article from which the information was extracted, please visit:

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