Effective chain complexes for twisted products

Marek Filakovský

Archivum Mathematicum (2012)

  • Volume: 048, Issue: 5, page 313-322
  • ISSN: 0044-8753

Abstract

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In the paper weak sufficient conditions for the reduction of the chain complex of a twisted cartesian product F × τ B to a chain complex of free finitely generated abelian groups are found.

How to cite

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Filakovský, Marek. "Effective chain complexes for twisted products." Archivum Mathematicum 048.5 (2012): 313-322. <http://eudml.org/doc/251367>.

@article{Filakovský2012,
abstract = {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.},
author = {Filakovský, Marek},
journal = {Archivum Mathematicum},
keywords = {twisted product; reduction; chain complex; twisted product; reduction; chain complex},
language = {eng},
number = {5},
pages = {313-322},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Effective chain complexes for twisted products},
url = {http://eudml.org/doc/251367},
volume = {048},
year = {2012},
}

TY - JOUR
AU - Filakovský, Marek
TI - Effective chain complexes for twisted products
JO - Archivum Mathematicum
PY - 2012
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 048
IS - 5
SP - 313
EP - 322
AB - 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.
LA - eng
KW - twisted product; reduction; chain complex; twisted product; reduction; chain complex
UR - http://eudml.org/doc/251367
ER -

References

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  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. (2012) 
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  4. Krčál, M., Matoušek, J., Sergeraert, F., Polynomial–time homology for simplicial Eilenberg–MacLane spaces, arXiv:1201.6222v1 (2012). 
  5. Lambe, L., Stasheff, J., 10.1007/BF01165893, Manuscripta Math. 58 (1987), 363–376. (1987) Zbl0632.55011MR0893160DOI10.1007/BF01165893
  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. (1992) MR1206474
  7. Romero, A., Sergeraert, F., Discrete vector fields and fundamental algebraic topology, arXiv:1005.5685v1 (2010). 
  8. Rubio, J., Homologie effective des espaces de lacets itérés: un logiciel, Ph.D. thesis, Institut Fourier, Grenoble, 1991. (1991) 
  9. Rubio, J., Sergeraert, F., Constructive homological algebra and applications, Genova Summer School 2006, arXiv:1208.3816v2. 
  10. Weishu, Shih, Homologie des espaces fibrés, Publ. Math., Inst. Hautes Étud. Sci. 13 (1962), 93–176. (1962) MR0144348

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