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Titlebook: Algebraic Topology from a Homotopical Viewpoint; Marcelo Aguilar,Samuel Gitler,Carlos Prieto Textbook 2002 Springer-Verlag New York 2002 A

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发表于 2025-3-21 17:38:21 | 显示全部楼层 |阅读模式
期刊全称Algebraic Topology from a Homotopical Viewpoint
影响因子2023Marcelo Aguilar,Samuel Gitler,Carlos Prieto
视频videohttp://file.papertrans.cn/153/152741/152741.mp4
学科分类Universitext
图书封面Titlebook: Algebraic Topology from a Homotopical Viewpoint;  Marcelo Aguilar,Samuel Gitler,Carlos Prieto Textbook 2002 Springer-Verlag New York 2002 A
影响因子The purpose of this book is to introduce algebraic topology using the novel approach of homotopy theory, an approach with clear applications in algebraic geometry as understood by Lawson and Voevodsky. This method allows the authors to cover the material more efficiently than the more common method using homological algebra. The basic concepts of homotopy theory, such as fibrations and cofibrations, are used to construct singular homology and cohomology, as well as K-theory. Throughout the text many other fundamental concepts are introduced, including the construction of the characteristic classes of vector bundles. Although functors appear constantly throughout the text, no knowledge about category theory is expected from the reader. This book is intended for advanced undergraduates and graduate students with a basic knowledge of point set topology as well as group theory and can be used in a two semester course..Marcelo Aguilar and Carlos Prieto are Professors at the Instituto de Matemticas, Universidad Nacional Autónoma de México, and Samuel Gitler is a member of El Colegio Nacional and professor at the Centro de Investigación y Estudios Avanzados del IPN.
Pindex Textbook 2002
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发表于 2025-3-21 21:51:11 | 显示全部楼层
John Erik Fossum,Agustín José Menéndezch we have already mentioned. These spaces will be constructed starting from the concept of an infinite symmetric product introduced in the last chapter. This construction will be applied to the so-called Moore spaces, which by construction are CW-complexes.
发表于 2025-3-22 00:55:41 | 显示全部楼层
https://doi.org/10.1007/b97586Adams operation; Brown representability; Category theory; Characteristic class; Homotopy group; algebraic
发表于 2025-3-22 05:13:41 | 显示全部楼层
978-1-4419-3005-7Springer-Verlag New York 2002
发表于 2025-3-22 11:37:02 | 显示全部楼层
John Erik Fossum,Agustín José Menéndezch we have already mentioned. These spaces will be constructed starting from the concept of an infinite symmetric product introduced in the last chapter. This construction will be applied to the so-called Moore spaces, which by construction are CW-complexes.
发表于 2025-3-22 14:37:52 | 显示全部楼层
Die Krise der politischen Kommunikation,us to those of cohomology as was studied in Chapter 7, but with particularly useful properties, as we shall see in Chapter 10. The foundation for the construction of .-theory is the abelian semigroup Vect(.) of isomorphism classes of vector bundles over . In the course of the chapter we shall give v
发表于 2025-3-22 18:39:10 | 显示全部楼层
Conclusion and Future Directions,rmined by the ., which are called the Stiefel-Whitney classes in the case of real vector bundles and are called Chern classes in the complex case. To be more precise, we shall first rely on the fact that ℝℙ. and ℂℙ. are simultaneously Eilenberg-Mac Lane spaces (of type .,1) and K(ℤ,2), respectively)
发表于 2025-3-23 00:31:58 | 显示全部楼层
发表于 2025-3-23 05:09:50 | 显示全部楼层
Homotopy Properties of CW-Complexes,ch we have already mentioned. These spaces will be constructed starting from the concept of an infinite symmetric product introduced in the last chapter. This construction will be applied to the so-called Moore spaces, which by construction are CW-complexes.
发表于 2025-3-23 08:49:25 | 显示全部楼层
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