Series and convergence #1445
Series and convergence #1445
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There might need to be additional continuity conditions on the ring operations. I have to admit I'm leaning more and more towards just naming the backing structure |
| A series is an infinite sum taken over the natural numbers. If it has a limit, | ||
| it is said to converge, otherwise it is said to diverge. |
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The concept of a "Commutative ring in a complete metric space" seems closely related to the notion of a Banach algebra or some related variant thereof. Perhaps you can use that to come up with a shorter name for the structure you are considering that also doesn't capture the namespace "analysis (setting)", which is rich in structures to consider for different things. |
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