具有单纯键映射和胞腔结构的逆系统
Inverse systems with simplicial bonding maps and cell structures
摘要：
对于拓扑完备空间$X$和$X$的闭覆盖族$\mathcal A$满足“局部加细条件”和“完备条件”，我们构造了一个由单纯复形和单纯键合映射构成的逆系统$\mathbf{ N}_{\mathcal A}$，使得极限空间$N_{\infty} = \varprojlim \mathbf{N}_{\mathcal A}$同伦等价于$X$ .讨论了与细胞结构[2]、[3]的联系
英文摘要：
For a topologically complete space $X$ and a family of closed covers $\mathcal A$ of $X$ satisfying a "local refinement condition" and a "completeness condition," we give a construction of an inverse system $\mathbf{ N}_{\mathcal A}$ of simplicial complexes and simplicial bonding maps such that the limit space $N_{\infty} = \varprojlim \mathbf{N}_{\mathcal A}$ is homotopy equivalent to $X$. A connection with cell structures [2],[3] is discussed
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