Timeline for does geometric realization factor through an endofunctor?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Oct 24, 2020 at 9:19 | comment | added | Achim Krause | You can just consider geometric realisation of simplicial spaces as an endofunctor of simplicial spaces: It takes a simplicial space to the constant simplicial space given by the geometric realisation. Is this what you had in mind? | |
| Oct 24, 2020 at 9:13 | history | edited | user167192 | CC BY-SA 4.0 |
added 85 characters in body
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| Oct 24, 2020 at 8:44 | history | edited | user167192 | CC BY-SA 4.0 |
added a clarification in response to comment by F.Muro
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| Oct 24, 2020 at 8:41 | comment | added | user167192 | I do not know how to narrow it in a precise sense. Informally, it is a request for references to a non-trivial endofunctor associated with geometric realisation in some sense. | |
| Oct 23, 2020 at 22:29 | comment | added | Fernando Muro | You can factor the usual geometric realization functor through the category of simplicial spaces, by considering the constant simplicial space of the geometric realization. Therefore it factors through an endofunctor of the category of simplicial spaces: the identity endofunctor. This is probably not what you have in mind, but you should narrow your question to exclude such trivial answers. | |
| Oct 23, 2020 at 12:19 | history | asked | user167192 | CC BY-SA 4.0 |