Math 2.0

concept

Ascending chain condition

Summary

A partially ordered set satisfies the ascending chain condition when every increasing sequence of its elements is eventually constant. The definition of the ascending chain condition states this precisely.

What this node needs for W2
  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

The writing levels say how complete the text of a node is. They do not measure its truth.

Sources

  1. Web https://en.wikipedia.org/wiki/Ascending_chain_condition, lead section

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Definitions