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2021 The May–Milgram filtration and $\mathcal{E}_k$–cells
Inbar Klang, Alexander Kupers, Jeremy Miller
Algebr. Geom. Topol. 21(1): 105-136 (2021). DOI: 10.2140/agt.2021.21.105

Abstract

We describe an k–cell structure on the free k+1–algebra on a point, and more generally describe how the May–Milgram filtration of ΩmΣmSk lifts to a filtration of the free k+m–algebra on a point by iterated pushouts of free k–algebras.

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Inbar Klang. Alexander Kupers. Jeremy Miller. "The May–Milgram filtration and $\mathcal{E}_k$–cells." Algebr. Geom. Topol. 21 (1) 105 - 136, 2021. https://doi.org/10.2140/agt.2021.21.105

Information

Received: 9 September 2018; Revised: 23 November 2019; Accepted: 6 May 2020; Published: 2021
First available in Project Euclid: 16 March 2021

Digital Object Identifier: 10.2140/agt.2021.21.105

Subjects:
Primary: 55P48
Secondary: 18D50 , 55R40 , 55R80

Keywords: cell attachments , configuration spaces , delooping , iterated loop spaces , little disks operad , May–Milgram filtration

Rights: Copyright © 2021 Mathematical Sciences Publishers

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Vol.21 • No. 1 • 2021
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