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Results tagged with big-picture
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user 1916
Questions designed to get an overview of a specific subject or body of results or to understand the relations among similar definitions, techniques or concepts appearing in different sub-fields of mathematics. While such questions by their very nature sometimes cannot be made very narrow and focused, it can be helpful to keep in mind that the design of MathOverflow does not make it a good fit for questions that are too broad.
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Various concepts of "closure" or "completion" in mathematics
The radical of an ideal - we have $\sqrt{\sqrt{I}}=\sqrt{I}$.
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Various concepts of "closure" or "completion" in mathematics
The closure of a set in a topology - we have $\overline{\bar{X}}=\bar{X}$.
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Various concepts of "closure" or "completion" in mathematics
The total ring of fractions for a ring - we have $Q(Q(R))\simeq Q(R)$.
6
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11
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Various concepts of "closure" or "completion" in mathematics
Out of idle curiosity, I'm wondering about all the various idempotent constructions we have in mathematics (they seem to be generally referred to as a "closure" or "completion"), and how some of them …
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7
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Generalizations of "standard" calculus
We have the usual analogy between infinitesimal calculus (integrals and derivatives) and finite calculus (sums and forward differences), and also the generalization of infinitesimal calculus to fracti …
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