Opuscula Math. 27, no. 2 (2007), 291-300

Opuscula Mathematica

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.

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