Name
Abstract | ||
|---|---|---|
Sesquicartesian categories are categories with nonempty finite products and arbitrary finite sums, including the empty sum. Coherence is here demonstrated for sesquicartesian categories in which the first and the second projection from the product of the initial object with itself are the same. (Every bicartesian closed category, and, in particular, the category Set, is such a category.) This coherence amounts to the existence of a faithful functor from categories of this sort freely generated by sets of objects to the category of relations on finite ordinals. Coherence also holds for bicartesian categories where, in addition to this equality for projections, we have that the first and the second injection to the sum of the terminal object with itself are the same. These coherences yield a very easy decision procedure for equality of arrows. |
Year | Venue | Keywords |
|---|---|---|
2001 | Proof Theory in Computer Science | coherence amount,initial object,arbitrary finite sum,terminal object,nonempty finite product,finite ordinal,empty sum,coherent bicartesian,sesquicartesian categories,bicartesian category,category set,sesquicartesian category,proof theory,category theory |
Field | DocType | ISBN |
Discrete mathematics,Initial and terminal objects,Closed category,Equivalence of categories,Regular category,Pure mathematics,Concrete category,Functor category,Cartesian closed category,Mathematics,Category | Conference | 3-540-42752-X |
Citations | PageRank | References |
2 | 0.53 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kosta Dosen | 1 | 143 | 25.45 |
| Zoran Petric | 2 | 40 | 10.82 |