识别映射空间
Recognizing mapping spaces
摘要：
给定一个合适的点单纯模型范畴$\C$中的固定对象$A$，研究了从点映射空间\w{\mapa(A,Y)}恢复目标$Y$的问题（直到$A$ -等价）.我们描述了一个识别原理，仿照经典的循环空间，但使用更一般的概念，一个\emph{\Ama[.]}它有一个相关的超限程序恢复\w{\CWA Y}从\w [，]{ \mapa（A，Y）}的启发Dror-Farjoun的建设\ww{\CWA{}} -近似。
英文摘要：
Given a fixed object $A$ in a suitable pointed simplicial model category $\C$, we study the problem of recovering the target $Y$ from the pointed mapping space \w{\mapa(A,Y)} (up to $A$-equivalence). We describe a recognition principle, modelled on the classical ones for loop spaces, but using the more general notion of an \emph{\Ama[.]} It has an associated transfinite procedure for recovering \w{\CWA Y} from \w[,]{\mapa(A,Y)} inspired by Dror-Farjoun's construction of \ww{\CWA{}}-approximations.
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。
