Embeddings and Extensions in Analysis (Ergebnisse der

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A differentiable function from the reals to the manifold is a curve on the manifold. In this manner of denoting the crossings, I pay no attention to which bridges are used, but if the same crossing can be made from one region into another by several bridges, then it is just the same, whichever bridge be crossed, as long as the traveler reaches the designated region. For example, what set of features of a 2-dimensional manifold guarantees it is of the same species (i. e., is homeomorphic to) a 2-sphere, S?

Pages: 110

Publisher: Springer; Softcover reprint of the original 1st ed. 1975 edition (January 1, 1975)

ISBN: 3642660398

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