Timeline for Realization of a bisimplicial set
Current License: CC BY-SA 3.0
3 events
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| May 23, 2012 at 11:16 | comment | added | Steven Landsburg | David Roberts: I'm not sure what you (or the OP) mean by "the" realization. Construction 3) above goes from $ssSet$ to $sSet$ (and then to $Top$ via realization). Constructions 1) and 2) go from $ssSet$ to $sTop$ (and then to $Top$ via the second realization). I think the $|X|_k$ being sought in the original question is the $|X|_k$ from construction 2), which is not just a set but a space. The realization procedure gives an explicit construction of this space. Am I missing something? | |
| May 23, 2012 at 10:28 | comment | added | David Roberts♦ | I think the OP was after a description of the realisation $ssSet \to sSet$. | |
| May 23, 2012 at 10:23 | history | answered | Steven Landsburg | CC BY-SA 3.0 |