爆发 发表于 2025-3-21 19:15:35

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libertine 发表于 2025-3-21 21:28:47

0172-5939 odesty of scope allows the most essential topics to emerge c.Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general

Guileless 发表于 2025-3-22 01:19:47

Bump Functions and Partitions of Unity the behavior of . manifolds so different from real-analytic or complex manifolds. In this chapter we construct . bump functions on any manifold and prove the existence of a .∞ partition of unity on a compact manifold. The proof of the existence of a . partition of unity on a general manifold is more technical and is postponed to Appendix C.

东西 发表于 2025-3-22 04:34:21

https://doi.org/10.1007/978-0-387-48101-2Algebraic topology; De Rham cohomology; Homotopy; cohomology; exterior derivative; homology; manifold

dissolution 发表于 2025-3-22 11:53:16

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明智的人 发表于 2025-3-22 13:07:57

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Nebulous 发表于 2025-3-22 19:41:12

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花束 发表于 2025-3-22 22:03:40

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漂亮 发表于 2025-3-23 08:55:13

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查看完整版本: Titlebook: An Introduction to Manifolds; Loring W. Tu Textbook 2008Latest edition Springer-Verlag New York 2008 Algebraic topology.De Rham cohomology