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arXiv 1004.5249math.AT
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Quillen模型范畴中的HELP引理及其逆

The HELP-Lemma and its converse in Quillen model categories

R. M. Vogt

摘要:

我们证明了闭模型范畴中的映射是弱等价的当且仅当它关于所有上纤维化具有右同伦扩张提升性质。对偶语句适用于相干对象之间的映射。

英文摘要:

We show that a map between fibrant objects in a closed model category is a weak equivalence if and only if it has the right homotopy extension lifting property with respect to all cofibrations. The dual statement holds for maps between cofibrant objects.

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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