Mapping Cone Construction - Pure Mathematics - Algebra Dictionary Definition A construction that associates to a chain map between complexes a new complex (the mapping cone) whose homology measures the failure of the map to be a quasi-isomorphism and that yields long exact sequences in homology.
Mapping Cone Construction - Pure Mathematics - Algebra Dictionary Definition A construction that associates to a chain map between complexes a new complex (the mapping cone) whose homology measures the failure of the map to be a quasi-isomorphism and that yields long exact sequences in homology.