Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study which infinite posets have simple cofinal subsets such as chains, or decompose canonically into such subsets. The posets of countable cofinality admitting such a decomposition are characterized by a forbidden substructure; the corresponding problem for uncountable cofinality remains open.
['Reinhard Diestel', 'Oleg Pikhurko']
I am writing a research paper on a idea On the Cofinality of Infinite Partially Ordered Sets: Factoring a Poset into Lean Essential Subsets
[{"from": "human", "value": "I am writing a research paper on a idea On the Cofinality of Infinite Partially Ordered Sets: Factoring a Poset into Lean Essential Subsets"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study which infinite posets have simple cofinal subsets such as chains, or decompose canonically into such subsets. The posets of countable cofinality admitting such a decomposition are characterized by a forbidden substructure; the corresponding problem for uncountable cofinality remains open."}]