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arXiv 1207.6792math.KT
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N-复形的同伦范畴是一个同伦范畴

The homotopy category of N-complexes is a homotopy category

James Gillespie

摘要:

证明了N-复形范畴具有Str \om模型结构,即弱等价是链同伦等价.这推广了链复形(N = 2)范畴的类似结果.模型结构中的平凡对象是可收缩的N-复形,我们必须研究并得出几个结果。

英文摘要:

We show that the category of N-complexes has a Str\om model structure, meaning the weak equivalences are the chain homotopy equivalences. This generalizes the analogous result for the category of chain complexes (N = 2). The trivial objects in the model structure are the contractible N-complexes which we necessarily study and derive several results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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