Localization at b₁₀ in the stable category of comodules over the Steenrod reduced powers
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2018.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2018
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| Online Access: | http://hdl.handle.net/1721.1/117884 |
| _version_ | 1826208244948795392 |
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| author | Belmont, Eva Kinoshita |
| author2 | Haynes Miller. |
| author_facet | Haynes Miller. Belmont, Eva Kinoshita |
| author_sort | Belmont, Eva Kinoshita |
| collection | MIT |
| description | Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2018. |
| first_indexed | 2024-09-23T14:02:48Z |
| format | Thesis |
| id | mit-1721.1/117884 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T14:02:48Z |
| publishDate | 2018 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/1178842019-04-12T23:23:44Z Localization at b₁₀ in the stable category of comodules over the Steenrod reduced powers Belmont, Eva Kinoshita Haynes Miller. Massachusetts Institute of Technology. Department of Mathematics. Massachusetts Institute of Technology. Department of Mathematics. Mathematics. Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2018. Cataloged from PDF version of thesis. Includes bibliographical references (pages 157-159). Chromatic localization can be seen as a way to calculate a particular infinite piece of the homotopy of a spectrum. For example, the (finite) chromatic localization of a p-local sphere is its rationalization, and the corresponding chromatic localization of its Adams E2 page recovers just the zero-stem. We study a different localization of Adams E2 pages for spectra, which recovers more information than the chromatic localization. This approach can be seen as the analogue of chromatic localization in a category related to the derived category of comodules over the dual Steenrod algebra, a setting in which Palmieri has developed an analogue of chromatic homotopy theory. We work at p = 3 and compute the E2 page and first nontrivial differential of a spectral sequence converging to ... (where P is the Steenrod reduced powers), and give a complete calculation of other localized Ext groups, including ... by Eva Kinoshita Belmont. Ph. D. 2018-09-17T15:48:29Z 2018-09-17T15:48:29Z 2018 2018 Thesis http://hdl.handle.net/1721.1/117884 1051190662 eng MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission. http://dspace.mit.edu/handle/1721.1/7582 pages application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mathematics. Belmont, Eva Kinoshita Localization at b₁₀ in the stable category of comodules over the Steenrod reduced powers |
| title | Localization at b₁₀ in the stable category of comodules over the Steenrod reduced powers |
| title_full | Localization at b₁₀ in the stable category of comodules over the Steenrod reduced powers |
| title_fullStr | Localization at b₁₀ in the stable category of comodules over the Steenrod reduced powers |
| title_full_unstemmed | Localization at b₁₀ in the stable category of comodules over the Steenrod reduced powers |
| title_short | Localization at b₁₀ in the stable category of comodules over the Steenrod reduced powers |
| title_sort | localization at b₁₀ in the stable category of comodules over the steenrod reduced powers |
| topic | Mathematics. |
| url | http://hdl.handle.net/1721.1/117884 |
| work_keys_str_mv | AT belmontevakinoshita localizationatb10inthestablecategoryofcomodulesoverthesteenrodreducedpowers |