suppose we have a principle fiber bundle P(adsbygoogle = window.adsbygoogle || []).push({});

at a point p \in P

we have the decomposition T_pP=V_pP + H_pP

it is said that the vertical subspace V_pP is uniquely defined while H_pP is not

i cannot understand this point

the complement to a unique subspace is surely unique, i think.

it is a basic fact in linear algebra.

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# Vertical and horizontal subspace of a vector space T_pP.

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