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The may–milgram filtration and ek –cells

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

We describe an Ek –cell structure on the free EkC1 –algebra on a point, and more generally describe how the May–Milgram filtration of Ωm∑mSk lifts to a filtration of the free EkCm –algebra on a point by iterated pushouts of free Ek –algebras.
Original languageEnglish
Pages (from-to)105-136
Number of pages32
JournalAlgebraic and Geometric Topology
Volume21
Issue number1
Early online date25 Feb 2021
DOIs
Publication statusPublished - 2021
Externally publishedYes

Funding

The authors would like to thank Ralph Cohen, Søren Galatius, David Gepner, Mike Mandell and Oscar Randal-Williams for helpful conversations. We would also like to thank the anonymous referee for helpful comments and suggestions. Kupers was supported by NSF grant DMS-1803766. Miller was supported by NSF grant DMS-1709726.

FundersFunder number
National Science Foundation1803766, DMS-1803766, DMS-1709726

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