AI 中文总结
该研究针对多重复形的模型结构，建立其逐次截断间的奎伦等价，明确4-多重复形到双复形的自然比较映射为奎伦等价，解答了相关学者的问题。
AI 中文摘要
我们针对同时检测两个相关谱序列指定页上弱等价的模型结构，建立了多重复形逐次截断之间的奎伦等价。特别地，与近复几何和复几何比较相关的、从4-多重复形到双复形的自然比较映射是奎伦等价，这回答了Cirici、Livernet和Whitehouse提出的问题。
英文摘要
We establish Quillen equivalences between successive truncations of multicomplexes for the model structures that detect weak equivalences simultaneously on prescribed pages of the two associated spectral sequences. In particular, the natural comparison from $4$-multicomplexes to bicomplexes, which is relevant to the comparison between almost complex and complex geometry, is a Quillen equivalence. This answers a question of Cirici, Livernet, and Whitehouse.
Comments14 pages, comments welcome
