论文标题
在$ r^n $中的球形结空间的同质类型上
On the homotopy type of the spaces of spherical knots in $R^n$
论文作者
论文摘要
我们研究嵌入的空间$ s^m \ hookrightArrow r^n $和长嵌入$ r^m \ hookrightArrow r^n $的空间，即紧凑型集合以外的固定行为的嵌入。更确切地说，我们看一下将这些空间纳入浸入空间的同质纤维。我们发现与这些空间有关的天然纤维序列。我们还比较了$ l_ \ infty $ - $ - 代数，该图表在编码$ n-m \ geq 3 $时编码其合理同型类型。
We study the spaces of embeddings $S^m\hookrightarrow R^n$ and those of long embeddings $R^m\hookrightarrow R^n$, i.e. embeddings of a fixed behavior outside a compact set. More precisely we look at the homotopy fiber of the inclusion of these spaces to the spaces of immersions. We find a natural fiber sequence relating these spaces. We also compare the $L_\infty$-algebras of diagrams that encode their rational homotopy type, when the codimension $n-m\geq 3$.
