Timeline for Beck's Theorem and the category of endos
Current License: CC BY-SA 3.0
5 events
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Dec 5, 2016 at 7:33 | comment | added | Tim Campion | I think if you just write down the definitions it's obviously isomorphic. In both $\mathbf{Endo}$ and $\mathbf{Set}^T$, every object has a uniquely-defined carrier object in $\mathbf{Set}$, and you can write down the bijection between $T$-algebra structures on $A$ and endomorphisms of $A$, which underlies the comparison functor (or rather -- since the comparison functor is well-defined only up to isomorphism -- the obvious choice of comparison functor). I don't see any problems unless maybe if you're trying to work in a weak metatheory or something... | |
Dec 4, 2016 at 18:36 | comment | added | David Roberts♦ | I edited slightly to help the question be more obvious. | |
Dec 4, 2016 at 18:36 | history | edited | David Roberts♦ | CC BY-SA 3.0 |
Added an actual question mark
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Dec 4, 2016 at 17:52 | review | First posts | |||
Dec 4, 2016 at 18:04 | |||||
Dec 4, 2016 at 17:48 | history | asked | P. Corazza | CC BY-SA 3.0 |