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Massachusetts Institute of Technology

Multiplicative Structures on Moore spectra

Abstract

dc:description.abstract

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.

Degree

thesis:*
Name thesis:degree_name
Doctoral
Department dc:contributor.department
Massachusetts Institute of Technology. Department of Mathematics
Grantor dc:publisher
Massachusetts Institute of Technology
Year dc:date.issued
2022

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Burklund, Robert
Advisor dc:contributor.advisor
  • Hopkins, Michael

Rights

dc:rights
Statement dc:rights
  • In Copyright - Educational Use Permitted
  • Copyright MIT

Identifiers

dc:identifier.*
Handle dc:identifier.uri
https://hdl.handle.net/1721.1/145127
OAI identifier oai:identifier
oai:dspace.mit.edu:1721.1/145127

Chain of custody

source
Harvested from
MIT
Base URL
dspace.mit.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Burklund, Robert. Multiplicative Structures on Moore spectra. Massachusetts Institute of Technology, 2022. https://hdl.handle.net/1721.1/145127