Order, lattices, ordered algebraic structures Binary relations and basic order notions Concept
Total order
Summary
A total order is a partial order in which any two elements are comparable.
Where this leads
19 pages build on this one.
- Ryll-Nardzewski theorem
- O-minimal theory
- Dense linear order
- Nerve of a category
- Order dimension
- 1/3–2/3 conjecture
- Stable theory
- Suslin's problem
- Order topology
- Simplicial set
- Simplex category
- Monomial order
- Linear continuum
- Suslin line
- Uniserial module
- Linear extension
- Median algebra as a ternary algebra
- Szpilrajn extension theorem
- Simplicial object
Further reading
- Web https://en.wikipedia.org/wiki/Total_order, lead section
About this page
| Tag | 0FRXBVVR03 |
|---|---|
| URI | m2://0FRXBVVR03 |
| Aliases | linear-order, totally-ordered-set |
| Kind | concept |
| Writing | W1 stated |
| MSC | 06A05 |
| Specializes | Partial order |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (1 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Special cases
Definitions
Used by
- O-minimal theory
- Dense linear order
- 1/3–2/3 conjecture
- Order topology
- Simplex category
- Monomial order
- Linear continuum
- Uniserial module
- Linear extension
- Median algebra as a ternary algebra
- Szpilrajn extension theorem