Editing Euler's formula (section)

===Topological interpretation===
{{Unreferenced section|date=November 2022}}
In the language of [[topology]], Euler's formula states that the imaginary exponential function <math>t \mapsto e^{it}</math> is a ([[Surjective function|surjective]]) [[morphism]] of [[topological group]]s from the real line <math>\mathbb R</math> to the unit circle <math>\mathbb S^1</math>. In fact, this exhibits <math>\mathbb R</math> as a [[covering space]] of <math>\mathbb S^1</math>. Similarly, [[Euler's identity]] says that the [[Kernel (algebra)|kernel]] of this map is <math>\tau \mathbb Z</math>, where <math>\tau = 2\pi</math>. These observations may be combined and summarized in the [[commutative diagram]] below:

[[File:Euler's formula commutative diagram.svg|frameless|center|Euler's formula and identity combined in diagrammatic form]]