標(biāo)題: Titlebook: Algebraic Topology from a Homotopical Viewpoint; Marcelo Aguilar,Samuel Gitler,Carlos Prieto Textbook 2002 Springer-Verlag New York 2002 A [打印本頁(yè)] 作者: 愚蠢地活 時(shí)間: 2025-3-21 17:38
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書目名稱Algebraic Topology from a Homotopical Viewpoint讀者反饋學(xué)科排名
作者: 籠子 時(shí)間: 2025-3-21 21:51
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.作者: 作嘔 時(shí)間: 2025-3-22 00:55
https://doi.org/10.1007/b97586Adams operation; Brown representability; Category theory; Characteristic class; Homotopy group; algebraic作者: 禁止,切斷 時(shí)間: 2025-3-22 05:13
978-1-4419-3005-7Springer-Verlag New York 2002作者: 套索 時(shí)間: 2025-3-22 11:37
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.作者: HAIL 時(shí)間: 2025-3-22 14:37
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作者: pacifist 時(shí)間: 2025-3-22 18:39
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 ??. and ??. are simultaneously Eilenberg-Mac Lane spaces (of type .,1) and K(?,2), respectively)作者: 認(rèn)識(shí) 時(shí)間: 2025-3-23 00:31 作者: 和平 時(shí)間: 2025-3-23 05:09
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.作者: LAVA 時(shí)間: 2025-3-23 08:49 作者: 最有利 時(shí)間: 2025-3-23 13:10
https://doi.org/10.1007/978-3-658-13826-4Function spaces will be the foundation of many of the constructions that will be made in this text. The aim of this chapter is to review the most important aspects of the topology of function spaces. We shall assume a knowledge of the concepts of point set topology such as those found in the texts [27, 34, 60, 83], for example.作者: 群居動(dòng)物 時(shí)間: 2025-3-23 15:53 作者: 傀儡 時(shí)間: 2025-3-23 20:07
Reflexive Constitutionalism in CrisisWe start this chapter by defining and studying a very important class of spaces, known as the CW-complexes; in the next chapters these will be the spaces with which we shall mainly work.作者: Parley 時(shí)間: 2025-3-24 01:58 作者: Encapsulate 時(shí)間: 2025-3-24 04:27
,Studie 1 – hochgebildetes Sample,In this chapter we shall define and study vector bundles, including their classification. We also examine Grassmann manifolds and universal bundles. Our presentation partly follows Dupont [28].作者: Heart-Rate 時(shí)間: 2025-3-24 09:32
Die Krise der politischen Kommunikation,In this chapter we shall define the important Adams operations in complex .-theory and see how they are applied to prove a central theorem of mathematics, namely, to determine the dimensions . for which ?. admits the structure of a division algebra.作者: locus-ceruleus 時(shí)間: 2025-3-24 11:08
Function Spaces,Function spaces will be the foundation of many of the constructions that will be made in this text. The aim of this chapter is to review the most important aspects of the topology of function spaces. We shall assume a knowledge of the concepts of point set topology such as those found in the texts [27, 34, 60, 83], for example.作者: 多山 時(shí)間: 2025-3-24 16:23 作者: 詞匯記憶方法 時(shí)間: 2025-3-24 19:47 作者: RECUR 時(shí)間: 2025-3-25 03:01
Cohomology Groups and Related Topics,In this chapter we shall use the Eilenberg-Mac Lane spaces introduced in the previous chapter in order to define cohomology groups. Then, using the homotopy properties proved for Moore spaces, we shall introduce a multiplicative structure on cohomology groups.作者: 有常識(shí) 時(shí)間: 2025-3-25 05:03
Vector Bundles,In this chapter we shall define and study vector bundles, including their classification. We also examine Grassmann manifolds and universal bundles. Our presentation partly follows Dupont [28].作者: corn732 時(shí)間: 2025-3-25 07:56 作者: Cacophonous 時(shí)間: 2025-3-25 12:27 作者: glans-penis 時(shí)間: 2025-3-25 17:39
,-Theory,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作者: Resign 時(shí)間: 2025-3-25 22:20
Relations Between Cohomology and Vector Bundles,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 ??. and ??. are simultaneously Eilenberg-Mac Lane spaces (of type .,1) and K(?,2), respectively)作者: CROAK 時(shí)間: 2025-3-26 00:13 作者: Erythropoietin 時(shí)間: 2025-3-26 06:23 作者: 離開可分裂 時(shí)間: 2025-3-26 11:30
Die Krise der politischen Kommunikation,arious interpretations to .(.), one of these based precisely on the classification results of the previous chapter. Finally, we state the Bott periodicity theorem, whose proof is postponed to Appendix B, and analyze some of its consequences.作者: STING 時(shí)間: 2025-3-26 12:40 作者: drusen 時(shí)間: 2025-3-26 19:51
0172-5939 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 homolo作者: 復(fù)習(xí) 時(shí)間: 2025-3-26 23:20
Textbook 2002d 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.作者: BET 時(shí)間: 2025-3-27 03:32 作者: fatuity 時(shí)間: 2025-3-27 09:10
Conclusion and Future Directions, the cohomology functors ..(-;?/2) and ..(-;?), while on the other hand they classify real and complex line bundles, denoted functorially by Vect?1 and Vect ?1. In this w作者: MURKY 時(shí)間: 2025-3-27 11:35
Deliberative Public Engagement with Sciencety of the cohomology theories implies the existence of certain objects, called spectra, which topologically, or better, homotopically, encode all the information concerning their associated cohomology and homology theories.作者: 遵循的規(guī)范 時(shí)間: 2025-3-27 15:35
Relations Between Cohomology and Vector Bundles, the cohomology functors ..(-;?/2) and ..(-;?), while on the other hand they classify real and complex line bundles, denoted functorially by Vect?1 and Vect ?1. In this w作者: jocular 時(shí)間: 2025-3-27 21:07 作者: Admire 時(shí)間: 2025-3-28 00:19
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