论文标题
将通用图提起到嵌入。三角剖分和平滑
Lifting generic maps to embeddings. Triangulation and smoothing
论文作者
论文摘要
我们表明，如果非分类PL地图$ f：n \ to m $ lifts以$ m \ times \ times \ mathbb r^k $的形式嵌入拓扑嵌入，那么它将升至其中的pl嵌入。我们还表明，如果稳定的光滑地图$ n^n \ to m^m $，$ m \ ge n $，将升降到$ m \ times \ times \ mathbb r $中的拓扑嵌入，然后将其抬起到光滑的嵌入中。
We show that if a non-degenerate PL map $f:N\to M$ lifts to a topological embedding in $M\times\mathbb R^k$ then it lifts to a PL embedding in there. We also show that if a stable smooth map $N^n\to M^m$, $m\ge n$, lifts to a topological embedding in $M\times\mathbb R$, then it lifts to a smooth embedding in there.
