Some characterizations of acyclic maps
Some characterizations of acyclic maps
复制标题
非循环映射的一些特征
DOI：
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发表时间：
2017
影响因子：
0.5
通讯作者：
G. Raptis
中科院分区：
文献类型：
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作者：
G. Raptis
讨论了空间间无圈映射类的两个范畴刻画。第一个是关于满射的高级范畴概念。第二种方法采用了平衡映射的概念，即一个映射的同伦回拉沿着$$pi _0$$π0-满射也定义同伦推出。我们还确定了模态同伦理论的空间，这是定义的类的非循环映射，并讨论了内容的广义Blakers-Massey定理，这种模态。
We discuss two categorical characterizations of the class of acyclic maps between spaces. The first one is in terms of the higher categorical notion of an epimorphism. The second one employs the notion of a balanced map, that is, a map whose homotopy pullbacks along $$pi _0$$π0-surjective maps define also homotopy pushouts. We also identify the modality in the homotopy theory of spaces that is defined by the class of acyclic maps, and discuss the content of the generalized Blakers–Massey theorem for this modality.