Foundations of stable homotopy theory:
The beginning graduate student in homotopy theory is confronted with a vast literature on spectra that is scattered across books, articles and decades. There is much folklore but very few easy entry points. This comprehensive introduction to stable homotopy theory changes that. It presents the found...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge, United Kingdom ; New York, NY
Cambridge University Press
2020
|
| Series: | Cambridge studies in advanced mathematics
185 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBA01 Volltext |
| Summary: | The beginning graduate student in homotopy theory is confronted with a vast literature on spectra that is scattered across books, articles and decades. There is much folklore but very few easy entry points. This comprehensive introduction to stable homotopy theory changes that. It presents the foundations of the subject together in one place for the first time, from the motivating phenomena to the modern theory, at a level suitable for those with only a first course in algebraic topology. Starting from stable homotopy groups and (co)homology theories, the authors study the most important categories of spectra and the stable homotopy category, before moving on to computational aspects and more advanced topics such as monoidal structures, localisations and chromatic homotopy theory. The appendix containing essential facts on model categories, the numerous examples and the suggestions for further reading make this a friendly introduction to an often daunting subject |
| Item Description: | Title from publisher's bibliographic system (viewed on 06 Mar 2020) Includes bibliographical references and index |
| Physical Description: | 1 Online-Ressource (vi, 423 Seiten) |
| ISBN: | 9781108636575 |
| DOI: | 10.1017/9781108636575 |
Staff View
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T14:18:38Z |
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| institution | BVB |
| isbn | 9781108636575 |
| language | English |
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| spelling | Barnes, David 1981- Verfasser (DE-588)1208718479 aut Foundations of stable homotopy theory David Barnes, Queen's University Belfast, Constanze Roitzheim, University of Kent, Canterbury Cambridge, United Kingdom ; New York, NY Cambridge University Press 2020 1 Online-Ressource (vi, 423 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 185 Title from publisher's bibliographic system (viewed on 06 Mar 2020) Includes bibliographical references and index The beginning graduate student in homotopy theory is confronted with a vast literature on spectra that is scattered across books, articles and decades. There is much folklore but very few easy entry points. This comprehensive introduction to stable homotopy theory changes that. It presents the foundations of the subject together in one place for the first time, from the motivating phenomena to the modern theory, at a level suitable for those with only a first course in algebraic topology. Starting from stable homotopy groups and (co)homology theories, the authors study the most important categories of spectra and the stable homotopy category, before moving on to computational aspects and more advanced topics such as monoidal structures, localisations and chromatic homotopy theory. The appendix containing essential facts on model categories, the numerous examples and the suggestions for further reading make this a friendly introduction to an often daunting subject Homotopy theory Homotopietheorie (DE-588)4128142-1 gnd rswk-swf Homotopietheorie (DE-588)4128142-1 s DE-604 Roitzheim, Constanze 1980- (DE-588)132555840 aut Erscheint auch als Druck-Ausgabe 978-1-108-48278-3 https://doi.org/10.1017/9781108636575 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Barnes, David 1981- Roitzheim, Constanze 1980- Foundations of stable homotopy theory Homotopy theory Homotopietheorie (DE-588)4128142-1 gnd |
| subject_GND | (DE-588)4128142-1 |
| title | Foundations of stable homotopy theory |
| title_auth | Foundations of stable homotopy theory |
| title_exact_search | Foundations of stable homotopy theory |
| title_exact_search_txtP | Foundations of stable homotopy theory |
| title_full | Foundations of stable homotopy theory David Barnes, Queen's University Belfast, Constanze Roitzheim, University of Kent, Canterbury |
| title_fullStr | Foundations of stable homotopy theory David Barnes, Queen's University Belfast, Constanze Roitzheim, University of Kent, Canterbury |
| title_full_unstemmed | Foundations of stable homotopy theory David Barnes, Queen's University Belfast, Constanze Roitzheim, University of Kent, Canterbury |
| title_short | Foundations of stable homotopy theory |
| title_sort | foundations of stable homotopy theory |
| topic | Homotopy theory Homotopietheorie (DE-588)4128142-1 gnd |
| topic_facet | Homotopy theory Homotopietheorie |
| url | https://doi.org/10.1017/9781108636575 |
| work_keys_str_mv | AT barnesdavid foundationsofstablehomotopytheory AT roitzheimconstanze foundationsofstablehomotopytheory |