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當(dāng)前位置: 首頁出版圖書科學(xué)技術(shù)自然科學(xué)自然科學(xué)總論代數(shù)拓?fù)浜喢鹘坛蹋ǖ?卷)

代數(shù)拓?fù)浜喢鹘坛蹋ǖ?卷)

代數(shù)拓?fù)浜喢鹘坛蹋ǖ?卷)

定 價:¥42.00

作 者: 喬·彼得·梅
出版社: 世界圖書出版公司
叢編項(xiàng):
標(biāo) 簽: 暫缺

ISBN: 9787519266592 出版時間: 2019-09-01 包裝:
開本: 頁數(shù): 字?jǐn)?shù):  

內(nèi)容簡介

  代數(shù)拓?fù)涫乾F(xiàn)代數(shù)學(xué)的基本部分,這個領(lǐng)域的知識對研究高級的與幾何相關(guān)的工作(包括拓?fù)浔旧?、微分幾何、代?shù)幾何和李群等)來說是必不可少的。本書是一本代數(shù)拓?fù)涞暮喢鹘坛?,書里包含了很多首次在教科書中出現(xiàn)的代數(shù)拓?fù)涞那把匮芯窟M(jìn)展。 \n

作者簡介

  喬·彼得·梅(Jon Peter May)是美國著名數(shù)學(xué)家,芝加哥大學(xué)教授,研究領(lǐng)域?yàn)榇鷶?shù)拓?fù)渑c范疇論,他是抽象同倫論的先驅(qū)之一,提出了operads以及梅譜序列。

圖書目錄

Introduction

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Chapter 1. The fundamental group and some of its applications

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Chapter 2. Categorical language and the van Kampen theorem

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Chapter 3. Covering spaces

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Chapter 4. Graphs

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Chapter 5. Compactly generated spaces

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Chapter 6. Cofibrations

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Chapter 7. Fibrations

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Chapter 8. Based cofiber and fiber sequences

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Chapter 9. Higher homotopy groups

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Chapter 10. CW complexes

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Chapter 11. The homotopy excision and suspension theorems

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Chapter 12. A little homological algebra

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Chapter 13. Axiomatic and cellular homology theory

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Chapter 14. Derivations of properties from the axioms

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Chapter 15. The Hurewicz and uniqueness theorems

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Chapter 16. Singular homology theory

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Chapter 17. Some more homological algebra

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Chapter 18. Axiomatic and cellular cohomology theory

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Chapter 19. Derivations of properties from the axioms

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Chapter 20. The Poincar´e duality theorem

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Chapter 21. The index of manifolds; manifolds with boundary

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Chapter 22. Homology, cohomology, and K(π, n)s

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Chapter 23. Characteristic classes of vector bundles

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Chapter 24. An introduction to K-theory

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Chapter 25. An introduction to cobordism

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