论文标题
Ranicki二元性的几何解释
A Geometric Interpretation of Ranicki Duality
论文作者
论文摘要
我们的主要定理提供了$（r，k）$链同构：$tδ^*x \ cong c（x_k）$。这里$ t $是Ranicki二元函数； $δ^*x $是简单复合物$ x $的简单科链复合物，带有控制映射$π：x \ to k $和$ c（x_k）$是CW复合物$ x_k $的蜂窝链复合物。
Our main theorem provides an $(R,K)$ chain isomorphism: $ TΔ^*X\cong C(X_K) $. Here $T$ is the Ranicki Duality functor; $Δ^*X$ is the simplicial cochain complex of the simplicial complex $X$, with control map $π:X \to K$ and $C(X_K) $ is the cellular chain complex of a CW complex $X_K$.
