Products of coalgebras |
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| Authors: | H. Peter Gumm Tobias Schröder |
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| Affiliation: | Philipps-Universit?t Marburg, 35032 Marburg, Germany, e-mail: gumm@mathematik.uni-marburg.de, and tschroed@mathematik.uni-marburg.de, DE
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| Abstract: | We prove that the category of F-coalgebras is complete, that is products and equalizers exist, provided that the type functor F is bounded or preserves mono sources. This generalizes and simplifies a result of Worrell ([Wor98]). We also describe the relationship between the product and the largest bisimulation between and and find an example of two finite coalgebras whose product is infinite. Received January 11, 2000; accepted in final form October 16, 2000. |
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| Keywords: | and phrases: Coalgebra bisimulation product mono source. |
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