Encyclopedia > I > Infinite descending chain


Infinite descending chain



Given a set S with a partial order ≤, an infinite descending chain is a chain V, that is, a subset of S upon which ≤ defines a total order, such that V has no least element, that is, an element m such that for all elements n in V it holds that m ≤ n.



Information are taken from Wikipedia, the open encyclopedia, to which contribute many volunteers from around the whole world. Texts are available under the following conditions GNU Free Documentation License.

Encyklopedie (cz) Encyklopédia (sk) Enzyklopädie (de)


en