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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 258, Pages 161–184 (Mi znsl1022)  
This article is cited in 1 scientific paper (total in 1 paper)

Algorithms in algebraic topology and homological algebra: the problem of the complexity

P. R. Hurado, V. Álvarez, J. A. Armario, R. Gonsáles-Días

Universidad de Sevilla, Facultad de Matemáticas
Full-text PDF (296 kB) Citations (1)
Abstract: This survey tackles the problem of the high computational complexity lying in most of the algorithms in Algebraic Topology and Homological Algebra. We deal with three particular algorithms: the computation of the homology of commutative differential graded algebras, the homology of principal twisted cartesian products of Eilenberg–Mac Lane spaces and a combinatorial method computing Steenrod Squares.
Received: 25.09.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 108, Issue 6, Pages 1015–1033
DOI: https://doi.org/10.1023/A:1013544506151
Bibliographic databases:
UDC: 512.5+513.841
Language: English
Citation: P. R. Hurado, V. Álvarez, J. A. Armario, R. Gonsáles-Días, “Algorithms in algebraic topology and homological algebra: the problem of the complexity”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part IV, Zap. Nauchn. Sem. POMI, 258, POMI, St. Petersburg, 1999, 161–184; J. Math. Sci. (New York), 108:6 (2002), 1015–1033
Citation in format AMSBIB
\Bibitem{HurAlvArm99}
\by P.~R.~Hurado, V.~\'Alvarez, J.~A.~Armario, R.~Gons\'ales-D{\'\i}as
\paper Algorithms in algebraic topology and homological algebra: the problem of the complexity
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~IV
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 258
\pages 161--184
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1022}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1755838}
\zmath{https://zbmath.org/?q=an:0999.16009}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 108
\issue 6
\pages 1015--1033
\crossref{https://doi.org/10.1023/A:1013544506151}
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  • https://www.mathnet.ru/eng/znsl/v258/p161
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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