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I don't think so. It is a composition of "co" and "linear", meaning dual to something linear, rather than the word "collinear" meaning in a line. Google has 127 hits for "C-colinear map" and only 1 for "C-collinear map".
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is this related to the class of maps whereby lines in the first vectorspace, project to lines in the second?
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Knowledge. If you would like to participate, please visit the project page, where you can join
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Title should be changed to "Collinear map", two L's.
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