Yet another delooping machine
| dc.creator | Badzioch, Bernard | |
| dc.creator | Chung, Kuerak | |
| dc.creator | Voronov, Alexander A. | |
| dc.date | 2004-03-04 | |
| dc.date.accessioned | 2026-07-07T05:06:07Z | |
| dc.date.available | 2026-07-07T05:06:07Z | |
| dc.description | We suggest a new delooping machine, which is based on recognizing an n-fold loop space by a collection of operations acting on it, like the traditional delooping machines of Stasheff, May, Boardman-Vogt, Segal, and Bousfield. Unlike in the traditional delooping machines, which carefully select a nice space of such operations, we consider all natural operations on n-fold loop spaces, resulting in the algebraic theory Map (V_. S^n, V_. S^n). The advantage of this new approach is that the delooping machine is universal in a certain sense, the proof of the recognition principle is more conceptual, works the same way for all values of n, and does not need the test space to be connected. | |
| dc.description | 11 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0403098 | |
| dc.identifier | http://arxiv.org/abs/math/0403098 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70364 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P48 (Primary); 18C10 (Secondary) | |
| dc.title | Yet another delooping machine | |
| dc.type | text |