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  1. Feb 2019
  2. Mar 2016
    1. USvia a ber respecting di eomorphism:EjUw[[[]pUSpr1UEis called thetotal space,Mis called thebase space,pis a surjective submersion,called theprojection, andSis calledstandard ber. (U; ) as above is called a ber chartor alocal trivializationofE.
    2. A( ber) bundle(E;p;M;S) consists of manifoldsE,M,S,and a smooth mappingp:E!M; furthermore it is required that eachx2Mhas an open neighborhoodUsuch thatEjU:=p1(U) is di eomorphic to

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