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:
“As one knows the poet by his fine music, so one can recognise the liar by his rich rhythmic utterance, and in neither case will the casual inspiration of the moment suffice. Here, as elsewhere, practice must precede perfection.”
—Oscar Wilde (1854–1900)