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24 votes

Why are spectral sequences so ubiquitous?

Let me first try to answer a simpler question: Why are long exact sequences so ubiquitous? Almost anything that is written as a capital letter, followed by a subscript i or superscript -i, i an …
Reid Barton's user avatar
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Are rings really more fundamental objects than semi-rings?

Of course the real question is whether abelian groups are really more fundamental objects than commutative monoids. In a sense, the answer is obviously no: the definition of commutative monoid is sim …