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Stability of characters and filters for weighted semilattices
AbstractWe continue the study of the AMNM property for weighted semilattices that was initiated in Choi (J Aust Math Soc 95(1):36–67, 2013. 10.1017/S1446788713000189). We reformulate this in terms of stability of filters with respect to a given weight function, and then provide a combinatorial condition which is necessary and sufficient for this "filter stability" property to hold. Examples are given to show that this new condition allows for easier and unified proofs of some results in loc.doi:10.1007/s00233-020-10147-w fatcat:ek6bouf37bfm5f5offvf66lxse