Statement of a problem № m883


Suppose C is a collection of coordinate systems for M such that (1) For each x Є M there is f Є C which is a coordinate system around ; (2) if f, g Є C, then det (f -1 0 g) 2 > 0. Show that there is a unique orientation of M such that is orientation-preserving for all f Є C.

New search. (Also 1294 free access solutions)