| dc.contributor.author | Behrens, Mark Joseph | |
| dc.date.accessioned | 2012-04-13T16:18:49Z | |
| dc.date.available | 2012-04-13T16:18:49Z | |
| dc.date.issued | 2011-09 | |
| dc.date.submitted | 2011-08 | |
| dc.identifier.issn | 1472-2747 | |
| dc.identifier.issn | 1472-2739 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/70018 | |
| dc.description.abstract | We analyze the homological behavior of the attaching maps in the 2–local Goodwillie tower of
the identity evaluated at S¹. We show that they exhibit the same homological behavior
as the James–Hopf maps used by N Kuhn to prove the 2–primary Whitehead conjecture. We use this to prove a calculus form of the Whitehead conjecture: the Whitehead sequence is a contracting homotopy for the Goodwillie tower of S¹ at the prime 2. | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Mathematical Sciences Publishers | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.2140/agt.2011.11.2453 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike 3.0 | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/ | en_US |
| dc.source | MIT web domain | en_US |
| dc.title | The Goodwillie tower for S[superscript 1] and Kuhn's Theorem | en_US |
| dc.title.alternative | The Goodwillie tower for S¹ and Kuhn's Theorem | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Behrens, Mark. “The Goodwillie Tower for S¹ and Kuhn’s Theorem.” Algebraic & Geometric Topology 11.4 (2011): 2453–2475. Web. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.approver | Behrens, Mark Joseph | |
| dc.contributor.mitauthor | Behrens, Mark Joseph | |
| dc.relation.journal | Algebraic & Geometric Topology | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dspace.orderedauthors | Behrens, Mark | en |
| mit.license | OPEN_ACCESS_POLICY | en_US |
| mit.metadata.status | Complete | |
