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Titlebook: Differential Topology; Morris W. Hirsch Textbook 1976 Springer Science+Business Media New York 1976 Differentialtopologie.Immersion.diffe

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https://doi.org/10.1057/9780230607187ample, in Chapter 1 we constructed “by hand“ an embedding of any compact manifold M in some ℝ.; in this chapter we shall exploit the topology of a space of maps of M to . to prove that any map . can be approximated by embeddings if dim . < 2 dim ..
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https://doi.org/10.1057/9780230607187rtain features of the tangent bundle, thus defining a mixed topological-algebraic object called a vector bundle. Most of the deep invariants of a manifold are intimately linked to the tangent bundle; their development requires a general theory of vector bundles.
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