Topological Inspiration
This complex is called the cone in analogy to the mapping cone (topology) of a continuous map of topological spaces : the complex of singular chains of the topological cone is homotopy equivalent to the cone (in the chain-complex-sense) of the induced map of singular chains of X to Y. The mapping cylinder of a map of complexes is similarly related to the mapping cylinder of continuous maps.
Read more about this topic: Mapping Cone (homological Algebra)
Famous quotes containing the word inspiration:
“Free labor has the inspiration of hope; pure slavery has no hope.”
—Abraham Lincoln (1809–1865)