Common
Principal bundle
Fiber bundle whose fibers are group torsors
Principal bundle
In the mathematical area of topology, a principal bundle is a mathematical object that formalizes some of the essential features of the Cartesian product X × G {\displaystyle X\times G} of a topological space X {\displaystyle X} with a group G {\displaystyle G} , but without requiring a product structure. In the same way as with the Cartesian product, a principal bundle P {\displaystyle P} is equipped with An action of G {\displaystyle G} on P {\displaystyle P} , analogous to ( x , g ) h = ( x , g h ) {\displaystyle (x,g)h=(x,gh)} for a product space, where...
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