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Chapter 3122: The ∞-Categorical Eckmann-Hilton Argument
Section 4.4: Connectedness in Algebras
Proof (05Z6) (cite)

Proof. Combine 4.4.4 and 4.4.1. ∎

Original mathematics by the credited authors. Source collection and HTML conversion remain in progress.

Tomer Schlank, Lior Yanovski

Original source: arXiv:1808.06006v3

In this chapter

Chapter overview

1 Introduction
2 Reduced $\infty$ -Operads
2.1 Adjunctions and Under-categories
2.2 Pointed Unital and Reduced $\infty$ -operads
2.3 Symmetric Sequences
2.4 Free Algebras
3 $d$ -Categories and $d$ -Operads
3.1 $d$ -Homotopy Categories and Operads
3.2 $d$ -Equivalences and $d$ -Topoi
4 Truncatedness and Connectedness
4.1 Space of Lifts
4.2 Truncatedness and Connectedness
4.3 $(n-\frac{1}{2})$ -connectedness
4.4 Connectedness in Algebras
5 The $\infty$ -Categorical Eckmann–Hilton Argument
5.1 Coproducts of Algebras
5.2 Topoi and the Reduced Endomorphism Operad
5.3 The $\infty$ -Categorical Eckmann–Hilton Argument
References

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Original source · 1808.06006v3