Opuscula Math. 27, no. 2 (2007), 291-300
Opuscula Mathematica
Algebraic construction of a coboundary of a given cycle
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.
- 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
- Received: 2006-11-28.
