| Title:
|
Effective chain complexes for twisted products (English) |
| Author:
|
Filakovský, Marek |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
48 |
| Issue:
|
5 |
| Year:
|
2012 |
| Pages:
|
313-322 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper weak sufficient conditions for the reduction of the chain complex of a twisted cartesian product $F \times _{\tau }B$ to a chain complex of free finitely generated abelian groups are found. (English) |
| Keyword:
|
twisted product |
| Keyword:
|
reduction |
| Keyword:
|
chain complex |
| MSC:
|
18G35 |
| MSC:
|
55U15 |
| idMR:
|
MR3007614 |
| DOI:
|
10.5817/AM2012-5-313 |
| . |
| Date available:
|
2012-12-17T13:56:31Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143107 |
| . |
| Reference:
|
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| Reference:
|
[2] Čadek, M., Krčál, M., Matoušek, J., Sergeraert, F., Vokřínek, L., Wagner, U.: Computing all maps into a sphere.Proceedings of the Twenty-Third Annual ACM-SIAM Symposium on Discrete Algorithms, 2012. |
| Reference:
|
[3] Eilenberg, S., MacLane, S.: On the group $H(\Pi , n)$, I.Ann. of Math. (2) 58 (1953), 55–106. |
| Reference:
|
[4] Krčál, M., Matoušek, J., Sergeraert, F.: Polynomial–time homology for simplicial Eilenberg–MacLane spaces.arXiv:1201.6222v1 (2012). |
| Reference:
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[5] Lambe, L., Stasheff, J.: Applications of perturbation theory to iterated fibrations.Manuscripta Math. 58 (1987), 363–376. Zbl 0632.55011, MR 0893160, 10.1007/BF01165893 |
| Reference:
|
[6] May, J. P.: Simplicial objects in algebraic topology Chicago Lectures in Mathematics.Chicago Lectures in Mathematics, University of Chicago Press, Chicago, IL, 1992, Reprint of the 1967 original. MR 1206474 |
| Reference:
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[7] Romero, A., Sergeraert, F.: Discrete vector fields and fundamental algebraic topology.arXiv:1005.5685v1 (2010). |
| Reference:
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[8] Rubio, J.: Homologie effective des espaces de lacets itérés: un logiciel.Ph.D. thesis, Institut Fourier, Grenoble, 1991. |
| Reference:
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[9] Rubio, J., Sergeraert, F.: Constructive homological algebra and applications.Genova Summer School 2006, arXiv:1208.3816v2. |
| Reference:
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[10] Weishu, Shih: Homologie des espaces fibrés.Publ. Math., Inst. Hautes Étud. Sci. 13 (1962), 93–176. MR 0144348 |
| . |
