Multiplicative Structures on Moore spectra
In this article we show that S/8 is an E₁-algebra, S/32 is an E₂-algebra, S/𝑝ⁿ⁺¹ is an Eₙ-algebra at odd primes and, more generally, for every 𝒉 and 𝑛 there exist generalized Moore spectra of type 𝒉 which admit an Eₙ-algebra structure.
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| Format: | Thesis |
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Massachusetts Institute of Technology
2022
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| Online Access: | https://hdl.handle.net/1721.1/145127 |
| _version_ | 1811080286173134848 |
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| author | Burklund, Robert |
| author2 | Hopkins, Michael |
| author_facet | Hopkins, Michael Burklund, Robert |
| author_sort | Burklund, Robert |
| collection | MIT |
| description | In this article we show that S/8 is an E₁-algebra, S/32 is an E₂-algebra, S/𝑝ⁿ⁺¹ is an Eₙ-algebra at odd primes and, more generally, for every 𝒉 and 𝑛 there exist generalized Moore spectra of type 𝒉 which admit an Eₙ-algebra structure. |
| first_indexed | 2024-09-23T11:28:48Z |
| format | Thesis |
| id | mit-1721.1/145127 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T11:28:48Z |
| publishDate | 2022 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/1451272022-08-30T03:41:15Z Multiplicative Structures on Moore spectra Burklund, Robert Hopkins, Michael Massachusetts Institute of Technology. Department of Mathematics In this article we show that S/8 is an E₁-algebra, S/32 is an E₂-algebra, S/𝑝ⁿ⁺¹ is an Eₙ-algebra at odd primes and, more generally, for every 𝒉 and 𝑛 there exist generalized Moore spectra of type 𝒉 which admit an Eₙ-algebra structure. Ph.D. 2022-08-29T16:34:52Z 2022-08-29T16:34:52Z 2022-05 2022-06-07T15:33:51.568Z Thesis https://hdl.handle.net/1721.1/145127 In Copyright - Educational Use Permitted Copyright MIT http://rightsstatements.org/page/InC-EDU/1.0/ application/pdf Massachusetts Institute of Technology |
| spellingShingle | Burklund, Robert Multiplicative Structures on Moore spectra |
| title | Multiplicative Structures on Moore spectra |
| title_full | Multiplicative Structures on Moore spectra |
| title_fullStr | Multiplicative Structures on Moore spectra |
| title_full_unstemmed | Multiplicative Structures on Moore spectra |
| title_short | Multiplicative Structures on Moore spectra |
| title_sort | multiplicative structures on moore spectra |
| url | https://hdl.handle.net/1721.1/145127 |
| work_keys_str_mv | AT burklundrobert multiplicativestructuresonmoorespectra |