论文标题
在Steenrod $ \ Mathbb {l} $ - 同源性，广义流形和手术
On Steenrod $\mathbb{L}$-homology, generalized manifolds, and surgery
论文作者
论文摘要
本文的目的是展示同源理论的Steenrod构建对于在广义$ n $ -Manifold $ x^n $上进行拆卸过程的重要性，以产生广义同源理论的元素，这是计算基础的。特别是，我们展示了如何构造$ n $ - th steenrod同源性组$ h^{st} _ {n}（x^{n}，\ mathbb {l}^+），$ where $ \ m athbb {l}^+$是$ $ $ $ $ $ $ \ \ \ $ \ n $ seperigre Spectrum $ \ \ mather的相关范围。分裂程序，标准用于拓扑歧管的手术。
The aim of this paper is to show the importance of the Steenrod construction of homology theories for the disassembly process in surgery on a generalized $n$-manifold $X^n$, in order to produce an element of generalized homology theory, which is basic for calculations. In particular, we show how to construct an element of the $n$-th Steenrod homology group $H^{st}_{n} (X^{n}, \mathbb{L}^+),$ where $\mathbb{L}^+$ is the connected covering spectrum of the periodic surgery spectrum $\mathbb{L}$, avoiding the use of the geometric splitting procedure, which is standardly used in surgery on topological manifolds.
