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The finite cutset property
Author(s) -
Brochet J.M.
Publication year - 1993
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.19930390118
Subject(s) - mathematics , property (philosophy) , compact space , finite element method , topology (electrical circuits) , discrete mathematics , combinatorics , pure mathematics , physics , thermodynamics , philosophy , epistemology
A cutset of H is a subset of ∪ H which meets every element of H. H has the finite cutset property if every cutset of H contains a finite one. We study this notion, and in particular how it is related to the compactness of H for the natural topology. MSC: 04A20, 54D30.