Opuscula Math. 27, no. 2 (2007), 291-300
Algebraic construction of a coboundary of a given cycle
Marcin Mazur
Jacek Szybowski
Abstract.
We present an algebraic construction of the coboundary of a given cycle as a simpler alternative to the geometric one introduced in [M. Allili, T. Kaczyński, Geometric construction of a coboundary of a cycle, Discrete Comput. Geom. 25 (2001), 125–140, T. Kaczyński, Recursive coboundary formula for cycles in acyclic chain complexes, Topol. Methods Nonlinear Anal. 18 (2001), 351–371].
Keywords:
algorithm, homology theory, cycle, coboundary.
Mathematics Subject Classification:
55-04, 55N35, 05C85.
About the authors ▼
Marcin Mazur
Jagiellonian University, Institute of Mathematics, Reymonta 4, 30-059 Cracow; State Higher Vocational School in Nowy Sącz, Staszica 1, 33-300 Nowy Sącz, Poland
Jacek Szybowski
AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Cracow; State Higher Vocational School in Nowy Sącz, Staszica 1, 33-300 Nowy Sącz, Poland
About the article ▼
Received: 2006-11-28.
Cite this article as ▼
Marcin Mazur, Jacek Szybowski, Algebraic construction of a coboundary of a given cycle, Opuscula Math. 27, no. 2 (2007), 291-300,
http://dx.doi.org/10.7494/OpMath.2007.27.2.291.
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