TY - JOUR ID - Mazur2007 LB - Mazur2007 AU - Mazur, Marcin AU - Szybowski, Jacek TI - Algebraic construction of a coboundary of a given cycle ST - Algebraic construction of a coboundary of a given cycle JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2007 VL - 27 IS - 2 SP - 291 EP - 300 DO - http://dx.doi.org/10.7494/OpMath.2007.27.2.291 UR - http://dx.doi.org/10.7494/OpMath.2007.27.2.291 AB - 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]. KW - algorithm KW - homology theory KW - cycle KW - coboundary SN - 1232-9274 ER -