For strongly connected, pure n-dimensional regular CW-complexes, we show that evenness (each \((n{-}1)\)-cell is contained in an even number of n-cells) is equivalent to generalizations of both cycle decomposition and traversability.

中文翻译：

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正则 CW 复形的欧拉定理

对于强连通的纯n维正则 CW 复合体，我们证明均匀性（每个\((n{-}1)\) -cell 包含在偶数个n -cells 中）相当于两个循环的推广分解性和可遍历性。