Topology : Introduction

Study concepts, example questions & explanations for Topology

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Example Questions

Example Question #5 : Euler Characteristic

What is the Euler Characteristic for a triangle?

Possible Answers:

Correct answer:

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 can be calculated therefore,

now substitute them into the formula to calculate the Euler Characteristic and solve.

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