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Coalgebras of bounded type

Published online by Cambridge University Press:  21 October 2002

H. PETER GUMM
Affiliation:
Philipps-Universität Marburg, 35032 Marburg, Germany Email: gumm@mathematik.uni-marburg.de, tschroed@mathematik.uni-marburg.de
TOBIAS SCHRÖDER
Affiliation:
Philipps-Universität Marburg, 35032 Marburg, Germany Email: gumm@mathematik.uni-marburg.de, tschroed@mathematik.uni-marburg.de

Abstract

We use some results of Trnková to show first that subcoalgebras are always closed under finite intersections. Assuming that the type functor F is bounded, we obtain a concrete representation of the terminal F-coalgebra. We also provide several equivalent characterizations of boundedness.

Type
Research Article
Copyright
2002 Cambridge University Press

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