Coalgebras of bounded type

  • Authors:
  • H. Peter Gumm;Tobias Schröder

  • Affiliations:
  • Philipps-Universität Marburg, 35032 Marburg, Germany Email: gumm@mathematik.uni-marburg.de, tschroed@mathematik.uni-marburg.de;Philipps-Universität Marburg, 35032 Marburg, Germany Email: gumm@mathematik.uni-marburg.de, tschroed@mathematik.uni-marburg.de

  • Venue:
  • Mathematical Structures in Computer Science
  • Year:
  • 2002

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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.