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Results tagged with order-theory
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user 27009
5
votes
2
answers
1k
views
Definition of continuous functions in order theory
If we have a complete partial order (i.e. directed complete) I find frequently the following definition of a continuous function. A function $f:A\to B$ where $A$ and $B$ are cpos is called continuous …
- 165
0
votes
1
answer
194
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wellfounded sets and predecessors
Following question: Let's assume that W is a wellfounded set, i.e. it has a partial order and every nonempty subset of W has minimal elements with respect to the order.
Now we can easily define a bin …
- 165
0
votes
0
answers
289
views
Transitive closures and inductive reasoning [solved]
Let's say that r is an endorelation over A (i.e. $r$ is a subset of $A \times A$), $\bar{r}$ is the transitive closure of r (i.e. the least set containing r and being transitive).
Furthermore $r$ has …
- 165