falsehood
发表于 2025-3-25 04:32:17
https://doi.org/10.1007/978-94-007-4035-8 and Jordan offered proofs (for orientable surfaces in ℝ.) in the 1860’s. Möbius’ paper is quite interesting; in fact he used a Morse-theoretic approach similar to the one presented in this chapter. The main interest in Jordan’s attempt is in showing how the work of an outstanding mathematician
blithe
发表于 2025-3-25 09:33:58
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BLA
发表于 2025-3-25 14:41:23
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Infant
发表于 2025-3-25 17:29:00
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咒语
发表于 2025-3-25 20:04:15
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国家明智
发表于 2025-3-26 01:18:01
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 ..
反叛者
发表于 2025-3-26 07:32:00
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是比赛
发表于 2025-3-26 11:06:25
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Entrancing
发表于 2025-3-26 13:04:18
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AMBI
发表于 2025-3-26 19:58:40
Textbook 1976, the cobordism class of a manifold, and so forth. With these as motivating examples, the use of homology and homotopy theory in topology should seem quite natural. There are hundreds of exercises, ranging in difficulty from the routine to the unsolved. While these provide examples and further devel