Fiber bundles are a fundamental concept in the fields of topology and differential geometry. They provide a way to systematically study spaces that locally resemble a typical space but may have a more complicated global structure. ### Definition A fiber bundle consists of the following components: 1. **Total Space (E)**: This is the entire structure of the bundle, which includes all fibers. 2. **Base Space (B)**: This is the manifold over which the fiber bundle is defined.
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