Some authors use the term "continuous piecewise-linear" where other authors use the shorter term "piecewise-linear" (with continuity tacit).


I'd be interested in people's thoughts about this nomenclatural issue. I'm sympathetic to the use of the term "cpl" in work of Kirillov and Berenstein (see e.g. <http://math.uoregon.edu/~arkadiy/bk1.pdf>), but I'm inclined to use the term "PL" in describing their work and applying their constructions, since the term seems more mainstream. 


Then again, if lots of folks (especially those who work in algebraic combinatorics and representation theory) are moving in Kirillov and Berenstein's direction, maybe I should join them.



Continuous-piecewise-linear versus piecewise-linear
If "piecewise linear " means, linear (affine) on each member of some finite cover by *closed* intervals, then continuity is already there.


