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A note on coalgebras and presheaves

Published online by Cambridge University Press:  27 May 2005

JAMES WORRELL
JAMES WORRELL
Affiliation:
Department of Mathematics, Tulane University, New Orleans, LA 70118
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Abstract

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We show that the category of coalgebras of a wide-pullback preserving endofunctor on a category of presheaves is itself a category of presheaves. This illustrates a connection between Jacobs' temporal logic of coalgebras and Ghilardi and Meloni's presheaf semantics for temporal modalities.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 15 , Issue 3 , June 2005 , pp. 475 - 483
Copyright
2005 Cambridge University Press