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- W4246708498 abstract "Publisher SummaryThis chapter defines the basic concepts of manifolds and fiber bundles. The basic properties of topological manifolds are established in the chapter; the fundamental result is the “finite atlas” theorem. Its proof is based on the observation that if a basis for the topology of a manifold is closed under finite unions and countable disjoint unions, then it contains every open set. The same technique is used later to establish the Poincare isomorphism, the Kunneth isomorphism, and the Thom isomorphism. Smooth manifolds and smooth maps are introduced in the chapter." @default.
- W4246708498 created "2022-05-12" @default.
- W4246708498 date "1972-01-01" @default.
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- W4246708498 title "Chapter I Basic Concepts" @default.
- W4246708498 doi "https://doi.org/10.1016/s0079-8169(08)62849-4" @default.
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