The accessibility rank of weak equivalences

The accessibility rank of weak equivalences
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弱等价物的可达性等级

DOI:
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发表时间:
2014
期刊:
影响因子:
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通讯作者:
J. Rosick'y
J. Rosick'y
中科院分区:
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文献类型:
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作者:
G. Raptis;J. Rosick'y

文献摘要

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研究了组合模型范畴中平凡上纤维化和弱等价的可达性,证明了弱等价的可达秩的一个估计。特别地,我们证明了单纯集之间的弱等价类是可达的。
We study the accessibility properties of trivial cofibrations and weak equivalences in a combinatorial model category and prove an estimate for the accessibility rank of weak equivalences. In particular, we show that the class of weak equivalences between simplicial sets is finitely accessible.