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Generalise ExactSequence.v to a pointed wildcat with kernels #1798

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Alizter opened this issue Jan 1, 2024 · 1 comment
Open

Generalise ExactSequence.v to a pointed wildcat with kernels #1798

Alizter opened this issue Jan 1, 2024 · 1 comment

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@Alizter
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Alizter commented Jan 1, 2024

We should generalise ExactSequence.v to work on any pointed wildcat with kernels which will generalise many things from pType to abelian categories, groups, spectra etc.

It might also be worth checking if things like the 5-lemma hold in such generality.

@Alizter
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Alizter commented Jan 12, 2024

Just to add, obviously the 5-lemma doesn't literally hold in this case because it talks about monos and epis. The variant where we use the exactness characterization of monos and epis called the "short five lemma" should hold. (We even have it in the library for Ab).

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