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A principal $G$-bundle, where $G$ denotes any topological group, is a fiber bundle $π:P → X $together$\pi :P → X$ together with a continuous right action $P × G → P$ such that $G$ preserves the fibers of $P$ and acts freely and transitively on them.

A principal $G$-bundle, where $G$ denotes any topological group, is a fiber bundle $π:P → X $together with a continuous right action $P × G → P$ such that $G$ preserves the fibers of $P$ and acts freely and transitively on them

A principal $G$-bundle, where $G$ denotes any topological group, is a fiber bundle $\pi :P → X$ together with a continuous right action $P × G → P$ such that $G$ preserves the fibers of $P$ and acts freely and transitively on them.

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A principal $G$-bundle, where $G$ denotes any topological group, is a fiber bundle $π:P → X $together with a continuous right action $P × G → P$ such that $G$ preserves the fibers of $P$ and acts freely and transitively on them

A principal $G$-bundle, where $G$ denotes any topological group, is a fiber bundle $π:P → X $together with a continuous right action $P × G → P$ such that $G$ preserves the fibers of $P$ and acts freely and transitively on them

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