Geodesic
The ∞–categorical Eckmann–Hilton argument
Schlank, Tomer1 ; Yanovski, Lior1
1 Einstein Institute of Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel
Algebraic and Geometric Topology, Tome 19 (2019) no. 6, pp. 3119-3170

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We define a reduced ∞–operad P to be d–connected if the spaces P(n) of n–ary operations are d–connected for all n ≥ 0. Let P and Q be two reduced ∞–operads. We prove that if P is d1–connected and Q is d2–connected, then their Boardman–Vogt tensor product P⊗Q is (d1+d2+2)–connected. We consider this to be a natural ∞–categorical generalization of the classical Eckmann–Hilton argument.

DOI : 10.2140/agt.2019.19.3119
Classification : 18D05, 18D50, 55P48
Keywords: Eckmann–Hilton argument, infinity operads

Schlank, Tomer 1 ; Yanovski, Lior 1

1 Einstein Institute of Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel 
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Schlank, Tomer; Yanovski, Lior. The ∞–categorical Eckmann–Hilton argument. Algebraic and Geometric Topology, Tome 19 (2019) no. 6, pp. 3119-3170. doi: 10.2140/agt.2019.19.3119

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