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The cube axiom and resolutions in homotopy theory
Israel Journal of Mathematics ( IF 1 ) Pub Date : 2023-11-29 , DOI: 10.1007/s11856-023-2582-9 Manfred Stelzer
中文翻译:
同伦论中的立方公理和解析
更新日期:2023-11-29
Israel Journal of Mathematics ( IF 1 ) Pub Date : 2023-11-29 , DOI: 10.1007/s11856-023-2582-9 Manfred Stelzer
We show that a version of the cube axiom holds in cosimplicial unstable coalgebras and cosimplicial spaces equipped with a resolution model structure. As an application, classical theorems in unstable homotopy theory are extended to this context.
中文翻译:
同伦论中的立方公理和解析
我们证明了立方公理的一个版本在配备解析模型结构的余形不稳定余代数和余形空间中成立。作为一种应用,不稳定同伦理论中的经典定理被扩展到这种情况。