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Everything about Subcountability

Mathematical property of sets

In constructive mathematics, a collection is subcountable if there exists a partial surjection from the natural numbers onto it. This may be expressed as where denotes that is a surjective function from onto. The surjection is a member of and here the subclass of is required to be a set. In other words, all elements of a subcountable collection are functionally in the image of an indexing set of counting numbers and thus the set can be understood as being dominated by the countable set. Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: SubcountabilityA 5-minute orientation
  2. Pick up a classic book: PewDiePie MalbuchThe most-reprinted book on the subject
  3. Read the landmark paper: Subcountability under realizability.Cited 6 times
  4. Go sideways: Constructive set theoryA closely related topic
  5. Go sideways: Reverse mathematicsA closely related topic

đź“– Definitions

Noun The property of being subcountable.

🗂️ The subject at a glance

  1. Discussion
  2. Set theories
  3. Related properties

🏆 Landmark papers (most cited)

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

đź”— Related topics