论文标题
通过投影空间稳定的歧管的同喻
Homotopy of manifolds stabilized by projective spaces
论文作者
论文摘要
我们研究了带有射影空间的歧管的连接总和的同质，这是稳定歧管的典型方法。特别是，我们显示了通过投影空间稳定后的歧管的循环同拷贝分解，并提供了具体的例子。为此，我们通过在本地化后显示出循环同型分解，从经典$ j $ j $ homorthrist的图像的顺序显示出循环均匀分解，从而跟踪同型手术对某些产物歧管的效果。
We study the homotopy of the connected sum of a manifold with a projective space, viewed as a typical way to stabilize manifolds. In particular, we show a loop homotopy decomposition of a manifold after stabilization by a projective space, and provide concrete examples. To do this, we trace the effect in homotopy theory of surgery on certain product manifolds by showing a loop homotopy decomposition after localization away from the order of the image of the classical $J$-homomorphism.
