graphic
发表于 2025-3-21 19:34:08
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温和女孩
发表于 2025-3-21 22:11:18
Function Spaces,ample, 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 ..
愚笨
发表于 2025-3-22 01:03:01
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overshadow
发表于 2025-3-22 06:29:13
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欺骗世家
发表于 2025-3-22 09:25:55
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冷淡周边
发表于 2025-3-22 15:23:46
https://doi.org/10.1057/9780230607187Consider the following statements :
冷淡周边
发表于 2025-3-22 19:13:28
https://doi.org/10.1007/978-3-319-52971-4We now have enough machinery at our disposal to develop one of the most important tools in topology: the degree of a map .: . → ., where M and . are compact .-manifolds, . is connected, and . = . = Ø. This degree is an integer if . and . are oriented, an integer mod 2 otherwise.
Dawdle
发表于 2025-3-23 00:10:45
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过时
发表于 2025-3-23 02:13:05
https://doi.org/10.1007/978-3-319-52971-4In this short chapter we present the elementary part of one of the most elegant theories in differential topology, René Thorn’s theory of cobordism. It was largely for this work that Thorn was awarded the Fields Medal in 1958.
OCTO
发表于 2025-3-23 06:16:23
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