Timeline for Gamma spaces and monoidal categories II
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Mar 1, 2012 at 21:15 | comment | added | Ulrich Pennig | @Tyler: So, iterated deloopings still work in the non-unital case? | |
| Mar 1, 2012 at 15:36 | comment | added | Thomas Nikolaus | I understood that Ulrich assumed that the initial category was strict symmetric!? If this is not the case you are of course right (and in fact it almost never happens that its strict symmetric). | |
| Mar 1, 2012 at 14:51 | comment | added | Tyler Lawson | There are higher homotopies still; they come from the symmetric structure on the classifying space, and are required in order to allow iterated delooping. | |
| Mar 1, 2012 at 10:25 | history | edited | Thomas Nikolaus | CC BY-SA 3.0 |
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| Mar 1, 2012 at 9:30 | comment | added | Thomas Nikolaus | You don't see higher homotopies because they are not there. You can deloop topological monoids without units, as a described above. If you insist on getting a Gamma space I don't know from the top of my head. I have to think about it. | |
| Mar 1, 2012 at 9:26 | history | edited | Thomas Nikolaus | CC BY-SA 3.0 |
added 237 characters in body
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| Mar 1, 2012 at 9:26 | comment | added | Ulrich Pennig | You are right. But this way, I only see the $H$-space structure of the geometric realization. In a Gamma-space I also have control over the higher homotopies. For example, I can deloop a Gamma space. The question is, whether I still get a Gamma space, if I drop the assumption about units. | |
| Mar 1, 2012 at 9:19 | history | answered | Thomas Nikolaus | CC BY-SA 3.0 |