📚 noun • entry_id 45118
total order
Meanings (ES + gloss)
orden total
A partial order, ≤, (a binary relation that is reflexive, antisymmetric, and transitive) on some set S, such that any two elements of S are comparable (for any x, y ∈ S, either x ≤ y or y ≤ x).
Example 6.2.2. Suppose A is a finite set and R is a partial order on A. Prove that R can be extended to a total order on A. In other words, prove that there is a total order T on A…
[…]we conclude §2.1 by showing how, given a triangulation #92;Delta (i.e., simplicial decomposition) of a closed oriented 3-manifilld M, and a total order '#92;le' on the set of ve…
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