To the algebraist, $\mathbb{Z}$ is just the free group with one generator. To the algebraic topologist, $\mathbb{Z}$ is just the fundamental group of the circle. To be glib, what do $\mathbb{Z}$ mean to you?
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closed as not a real question by Pete L. Clark, Mariano Suárez-Alvarez, Theo Johnson-Freyd, S. Carnahan♦, Anton Geraschenko♦♦ Jan 22 2010 at 18:36 |
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Initial object in the category of commutative rings. |
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To a number theorist, shouldn't $\mathbb Z$ be the world? |
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Final object in the category of schemes. |
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Just $\mathbb{Z}$ ? ;-) |
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An infinite discrete subset of $\mathbb R$. |
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