Weak units and homotopy 3-types
Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › fagfællebedømt
We show that every braided monoidal category arises as End(I) for a weak unit I in an otherwise completely strict monoidal 2-category. This implies a version of Simpson's weak-unit conjecture in dimension 3, namely that one-object 3-groupoids that are strict in all respects, except that the object has only weak identity arrows, can model all connected, simply connected homotopy 3-types. The proof has a clear intuitive content and relies on a geometrical argument with string diagrams and configuration spaces.
Originalsprog | Engelsk |
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Titel | CATEGORIES IN ALGEBRA, GEOMETRY AND MATHEMATICAL PHYSICS |
Redaktører | A Davydov, M Batanin, M Johnson, S Lack, A Neeman |
Antal sider | 20 |
Forlag | AMER MATHEMATICAL SOC |
Publikationsdato | 2007 |
Sider | 257-276 |
ISBN (Trykt) | 978-0-8218-3970-6 |
Status | Udgivet - 2007 |
Eksternt udgivet | Ja |
Begivenhed | Conference on Categories in Algebra, Geometry and Mathematical Physics held in Honor of Ross Streets 60th Birthday - Sydney, Australien Varighed: 11 jul. 2005 → 16 jul. 2005 |
Konference
Konference | Conference on Categories in Algebra, Geometry and Mathematical Physics held in Honor of Ross Streets 60th Birthday |
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Land | Australien |
By | Sydney |
Periode | 11/07/2005 → 16/07/2005 |
Navn | Contemporary Mathematics |
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Vol/bind | 431 |
ISSN | 0271-4132 |
ID: 331502357