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The May–Milgram
filtration and $\mathcal{E}_k$–cells
Inbar Klang, Alexander Kupers and Jeremy Miller |
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Algebraic & Geometric Topology 21 (2021) 105–136
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Abstract |
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We describe an –cell structure on the free –algebra on a point, and more generally describe how the May–Milgram filtration of lifts to a filtration of the free –algebra on a point by iterated pushouts of free –algebras. |
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Keywords
little disks operad, cell attachments, delooping,
May–Milgram filtration, iterated loop spaces, configuration
spaces
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Mathematical Subject Classification 2010
Primary: 55P48
Secondary: 18D50, 55R40, 55R80
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References |
Publication
Received: 9 September 2018
Revised: 23 November 2019
Accepted: 6 May 2020
Published: 25 February 2021
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Authors |
| Inbar Klang | |
| Department of Mathematics Columbia University New York, NY United States |
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| Alexander Kupers | |
| Department of Computer and
Mathematical Sciences University of Toronto Scarborough Toronto, ON Canada |
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| Jeremy Miller | |
| Department of Mathematics Purdue University West Lafayette, IN United States |
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