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Notes on cobordism theory /
These notes represent the outgrowth of an offer by Princeton University to let me teach a graduate level course in cobordism theory. Even though cobordism notions appear in the earliest literature of algebraic topology, it has only been since the work of Thorn in 1954 that more than isolated results...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, N.J. :
Princeton University Press,
©1968.
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| Colección: | Mathematical notes (Princeton University Press)
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Stong, Robert E. | |
| 245 | 1 | 0 | |a Notes on cobordism theory / |c by Robert E. Stong. |
| 264 | 1 | |a Princeton, N.J. : |b Princeton University Press, |c ©1968. | |
| 300 | |a 1 online resource (ii, 354, 23, 25, viii pages) | ||
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| 490 | 1 | |a Mathematical notes | |
| 504 | |a Includes bibliographical references (pages i-viii (5th group)). | ||
| 505 | 0 | 0 | |t Introduction : Cobordism categories -- |t Manifolds with structure : the Pontrjagin-Thom theorem -- |t Characteristic classes and numbers -- |t The interesting examples : a survey of the literature -- |t Cohomology of classifying spaces -- |t Unoriented Cobordism -- |t Complex Cobordism -- [superscript lowercase Greek]Sigma [over] [subscript]l : restricted Cobordism -- |t Oriented Cobordism -- |t Special unitary Cobordism -- |t Spin, spin [superscript]c and similar nonsense -- |g Appendix I. |t Advanced calculus -- |g Appendix II. |t Differentiable manifolds. |
| 520 | |a These notes represent the outgrowth of an offer by Princeton University to let me teach a graduate level course in cobordism theory. Even though cobordism notions appear in the earliest literature of algebraic topology, it has only been since the work of Thorn in 1954 that more than isolated results have been available. Since that time the growth of this area has been phenomenal but has largely taken the form of individual research papers. To a certain extent, the nature of cobordism as a classificational tool has led to the study of many individual applications rather than the development of a central theory. There is no complete exposition of the fundamental results of cobordism theory, and it is hoped that these notes may help to fill this gap. Being intended for graduate and research level work, no attempt is made here to use only elementary ideas. It is assumed that the reader knows algebraic topology thoroughly, with cobordism being treated here as an application of topology. In many cases this is not the fashion in which development took place, for ideas from cobordism have frequently led to new methods in topology itself. | ||
| 588 | 0 | |a Print version record. | |
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 650 | 0 | |a Cobordism theory. | |
| 650 | 0 | |a Differential topology. | |
| 650 | 0 | |a Topology. | |
| 650 | 0 | |a Manifolds (Mathematics) | |
| 650 | 0 | |a Algebraic topology. | |
| 650 | 6 | |a Topologie algébrique. | |
| 650 | 6 | |a Théorie des cobordismes. | |
| 650 | 6 | |a Topologie différentielle. | |
| 650 | 6 | |a Topologie. | |
| 650 | 6 | |a Variétés (Mathématiques) | |
| 650 | 7 | |a MATHEMATICS |x Arithmetic. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x General. |2 bisacsh | |
| 650 | 7 | |a Algebraic topology |2 fast | |
| 650 | 7 | |a Topology |2 fast | |
| 650 | 7 | |a Manifolds (Mathematics) |2 fast | |
| 650 | 7 | |a Differential topology |2 fast | |
| 650 | 7 | |a Cobordism theory |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Stong, Robert E. |t Notes on cobordism theory |w (DLC) 71003315 |w (OCoLC)7124 |
| 830 | 0 | |a Mathematical notes (Princeton University Press) | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt183pnqj |z Texto completo |
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