Quillen模型范畴中的HELP引理及其逆
The HELP-Lemma and its converse in Quillen model categories
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.
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