Corrigendum to “Trees as Brelot spaces” [Adv. in Appl. Math. 30 (4) (2003) 706–745]

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Trees as Brelot spaces

A Brelot space is a connected, locally compact, noncompact Hausdorff space together with the choice of a sheaf of functions on this space which are called harmonic. We prove that by considering functions on a tree to be functions on the edges as well as on the vertices (instead of just on the vertices), a tree becomes a Brelot space. This leads to many results on the potential theory of trees. ...

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ژورنال

عنوان ژورنال: Advances in Applied Mathematics

سال: 2011

ISSN: 0196-8858

DOI: 10.1016/j.aam.2010.09.004