Abstract
Proctor and Scoppetta conjectured that (1) there exists an infinite locally finite poset that satisfies their conditions VT and NTC but not SIS; (2) there exists an infinite locally finite poset satisfying their conditions D3-C and D3MF but not both VT and FT; and (3) there exists an infinite locally finite poset satisfying their conditions D3-C and D3MD but not NCC. In this note, the conjecture of Proctor and Scoppetta, which is related to d-complete posets, is proven.
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