Structurable coalgebras
β Scribed by V. N. Zhelyabin
- Publisher
- Springer US
- Year
- 1996
- Tongue
- English
- Weight
- 465 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0002-5232
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We introduce a convenient category of combinatorial objects, known as cell-sets, on which we study the properties of the appropriate free abelian group functor. We obtain a versatile generalization of the notion of incidence coalgebra, giving rise to an abundance of coalgebras, Hopf algebras, and co
For deterministic systems, expressed as coalgebras over polynomial functors, every tree t (an element of the ΓΏnal coalgebra) turns out to represent a new coalgebra At. The universal property of this family of coalgebras, resembling freeness, is that for every state s of every system S there exists a