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 $N_{\mathcal{A}}$ of simplicial complexes and simplicial bonding maps such that the limit space $N_{\infty }=\underleftarrow{\lim }{N}_{\mathcal{A}}$ is homotopy equivalent to X. A connection with cell structures [2], [3] is discussed.

中文翻译：

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具有简单键合图和单元结构的逆系统

对于拓扑完备空间X和闭盖族$\mathcal{一种}$的X满足“局部细化条件”和“完整性的条件，”我们给逆系统的建设$N_{\mathcal{一种}}$ 单纯复形和单纯键合映射使得极限空间 $N_{\infty }=\underleftarrow{\mathrm{林}}{N}_{\mathcal{一种}}$是等价于X 的同伦。讨论了与单元结构 [2]、[3] 的联系。