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Algebraic topology began with Euler’s result that for any cellulation of the 2-sphere, the alternating sum of the number of cells is equal to 2. This leads to the notion of the “Euler characteristic,” as defined in Sect. 16.1.

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The Euler Characteristic

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  • 发表日期：

    2025年

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  • Michael W. Davis

摘要

Algebraic topology began with Euler’s result that for any cellulation of the 2-sphere, the alternating sum of the number of cells is equal to 2. This leads to the notion of the “Euler characteristic,” as defined in Sect. 16.1.