Timeline for Is Det-Stoch a factorization of the Giry Monad?
Current License: CC BY-SA 3.0
6 events
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| Mar 5, 2018 at 17:17 | comment | added | Ben Sprott | Hi Tim, Yes, I what I meant by a factorization of the Giry Monad. I guess you have answered my question. | |
| Mar 5, 2018 at 13:54 | review | Close votes | |||
| Mar 26, 2018 at 4:13 | |||||
| Mar 5, 2018 at 13:35 | comment | added | Tim Campion | What do you mean by "a factorization of the Giry monad"? Are you asking whether there is an adjunction $Pol^\to_\leftarrow Det-Stoch$ (where $Pol$ is the category of Polish spaces) whose induced monad on $Pol$ is the Giry monad? If that's what you mean, then the answer is obviously no: because $Det-Stoch$ has no noninvertible morphisms, any functor that factors through $Det-Stoch$ will send all morphisms to isomorphisms, and the Giry monad does not do this. | |
| Mar 4, 2018 at 8:23 | history | edited | Martin Sleziak | CC BY-SA 3.0 |
added (monads) tag
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| Mar 4, 2018 at 8:12 | history | edited | Ben Sprott | CC BY-SA 3.0 |
added 354 characters in body
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| Mar 4, 2018 at 8:04 | history | asked | Ben Sprott | CC BY-SA 3.0 |