Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce the setwise homotopy relation and prove that two chain maps induce the same cohomology map if and only if they are setwise homotopic.
['Ning Bian', 'Pu Zhang', 'Guanglian Zhang']
I am writing a research paper on a idea Setwise Homotopy Category
[{"from": "human", "value": "I am writing a research paper on a idea Setwise Homotopy Category"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce the setwise homotopy relation and prove that two chain maps induce the same cohomology map if and only if they are setwise homotopic."}]