Summary of contents: topological manifolds; manifold dimension; submanifolds; product manifold; bundles of topological manifolds; Möbius strip; total space, base space, projection map and fibres; product bundles; fibre bundles; examples; (cross-) section of a bundle; subbundles and restricted bundles; bundle morphisms and isomorphisms; local bundle isomorphisms; trivial and locally trivial bundles; pull-back of a bundle; sections on a bundle pull back to the pull-back bundle; charts, component and coordinate functions; atlases and C^0-compatibility; chart transition maps; maximal atlases.
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