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Topology Question of the Day

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Sunday, September 20, 2026

Calculate the Euler Characteristic given the following Betti numbers.

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Question of the Day

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Calculate the Euler Characteristic given the following Betti numbers.

(correct answer)
None of the answers are correct.

Explanation: The Euler Characteristic is calculated by the following equation. This is also written as, Recall that the Betti numbers represent the vertices, edges, and faces of the object. In this particular question the Betti numbers are known therefore, substitute them into the formula to calculate the Euler Characteristic and solve.