# Tagged Questions

**2**

votes

**0**answers

83 views

### $k$-Disk algebras versus $E_k$ algebras

Background:
The little $k$-cubes operad is the $(\infty,1)$-operad defined by embedding disjoint unions of $k$-dimensional open cubes rectilinearly into one another, that is using maps ...

**3**

votes

**1**answer

327 views

### Is there an analog of the Barratt-Eccles construction for group-like E_ā-spaces and E_ā-ring spaces?

The Barratt-Eccles operad is an operad in simplicial sets
that provides a particularly nice model of an Eā-operad;
algebras in spaces over the Barratt-Eccles operad model Eā-spaces,
i.e., homotopy ...

**4**

votes

**1**answer

199 views

### understanding the definition of $\infty$-operad of module objects

I'm just trying to understand the following definition:
Definition 3.3.3.8 in Higher Algebra by J. Lurie defines the $\infty$-operad of $O$-module objects, and says the following:
Let $O^\otimes$ be ...

**1**

vote

**0**answers

93 views

### Exact sequence of L-infinity-algebras

We call a sequence of $L_\infty$-algebras (weak) maps
$$0\to L\xrightarrow{f} M\xrightarrow{g} N\to 0$$
is exact if it is exact on the the underlying chain complexes level.
Thought I don't know ...

**3**

votes

**1**answer

384 views

### $A_{\infty}$ structure questions

Hello,
I would like explanation or clear source for some things related to $A_{\infty}$-spaces, via Stasheff's polytopes.
I tried not to think about them, because they seem too complicated for me; I ...