| Title:
|
Computing the abelian heap of unpointed stable homotopy classes of maps (English) |
| Author:
|
Vokřínek, Lukáš |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
49 |
| Issue:
|
5 |
| Year:
|
2013 |
| Pages:
|
359-368 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
An algorithmic computation of the set of unpointed stable homotopy classes of equivariant fibrewise maps was described in a recent paper [4] of the author and his collaborators. In the present paper, we describe a simplification of this computation that uses an abelian heap structure on this set that was observed in another paper [5] of the author. A heap is essentially a group without a choice of its neutral element; in addition, we allow it to be empty. (English) |
| Keyword:
|
stable homotopy class |
| Keyword:
|
computation |
| Keyword:
|
heap |
| MSC:
|
55Q05 |
| MSC:
|
55S91 |
| idZBL:
|
Zbl 06383797 |
| idMR:
|
MR3159334 |
| DOI:
|
10.5817/AM2013-5-359 |
| . |
| Date available:
|
2014-01-16T11:23:53Z |
| Last updated:
|
2015-03-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143559 |
| . |
| Reference:
|
[1] Čadek, M., Krčál, M., Matoušek, J., Sergeraert, F., Vokřínek, L., Wagner, U.: Computing all maps into a sphere.Proc. ACM-SIAM Symposium on Discrete Algorithms (SODA), 2012, preprint, arXiv:1105.6257, 2011. Extended abstract. MR 3205192 |
| Reference:
|
[2] Čadek, M., Krčál, M., Matoušek, J., Vokřínek, L., Wagner, U.: Extendability of continuous maps is undecidable.to appear in Discrete Comput. Geom. DOI: http://dx.doi.org/10.1007/s00454-013-9551-8 |
| Reference:
|
[3] Čadek, M., Krčál, M., Matoušek, J., Vokřínek, L., Wagner, U.: Polynomial-time computation of homotopy groups and Postnikov systems in fixed dimension.preprint, arXiv:1211.3093, 2012. |
| Reference:
|
[4] Čadek, M., Krčál, M., Vokřínek, L.: Algorithmic solvability of the lifting-extension problem.preprint, arXiv:1307.6444, 2013. |
| Reference:
|
[5] Vokřínek, L.: Heaps and unpointed stable homotopy theory.preprint, arXiv:1312.1709, 2013. |
| . |
