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Types and coalgebraic structure

✍ Scribed by H. Peter Gumm; Tobias Schröder


Publisher
Springer
Year
2005
Tongue
English
Weight
275 KB
Volume
53
Category
Article
ISSN
0002-5240

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📜 SIMILAR VOLUMES


Structurable coalgebras
✍ V. N. Zhelyabin 📂 Article 📅 1996 🏛 Springer US 🌐 English ⚖ 465 KB
On tree coalgebras and coalgebra present
✍ J. Adámek; H.-E. Porst 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 348 KB

For deterministic systems, expressed as coalgebras over polynomial functors, every tree t (an element of the ÿnal 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

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Combinatorial Models for Coalgebraic Str
✍ Nigel Ray; William Schmitt 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 624 KB

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