For a map \(f:X\rightarrow Y\), there is the relative model \(M(Y)=(\Lambda V,d)\rightarrow (\Lambda V\otimes \Lambda W,D)\simeq M(X)\) by Sullivan model theory (Félix et al., Rational homotopy theory, graduate texts in mathematics, Springer, Berlin, 2007). Let \(\mathrm{Baut}_1X\) be the Dold–Lashof classifying space of orientable fibrations with fiber X (Dold and Lashof, Ill J Math 3:285–305, 1959]). Its DGL (differential graded Lie algebra)-model is given by the derivations \(\mathrm{Der}M(X)\) of the Sullivan minimal model M(X) of X. Then we consider the condition that the restriction \(b_f:\mathrm{Der} (\Lambda V\otimes \Lambda W,D)\rightarrow \mathrm{Der}(\Lambda V,d) \) is a DGL-map and the related topics.

对于地图\（f：X \ rightarrow Y \），存在相对模型\（M（Y）=（\ Lambda V，d）\ rightarrow（\ Lambda V \ otimes \ Lambda W，D）\ simeq M （X）\）由Sullivan模型理论（费利克斯等人，有理同伦理论，数学研究生课程，施普林格，柏林，2007年）。令\（\ mathrm {Baut} _1X \）为纤维X定向纤维的Dold-Lashof分类空间（Dold和Lashof，《医学杂志》 3：285-305，1959年）。其DGL（差分级李代数）-model由推导给出\（\ mathrm {明镜} M（X）\）沙利文最小模型的中号（X）的X。然后我们考虑限制条件\（b_f：\ mathrm {Der}（\ Lambda V \ otimes \ Lambda W，D）\ rightarrow \ mathrm {Der}（\ Lambda V，d）\）是DGL地图和相关主题。