For questions about simplicial sets, simplicial (co)algebras and simplicial objects in other categories; geometric realization, Dold-Kan correspondence, simplicial resolutions etc.

**7**

**1**answer

### Simplicial nerve functor commutes with opposites

**4**

**0**answers

### Simplicial homotopy groups - reference request

**4**

**1**answer

### $X^K$ a Kan complex, without model structure or anodyne extensions

**5**

**0**answers

### When is a bisimplicial set diagonal fibrant

**4**

**0**answers

### Minimal infinity categories in the Segal space picture

**12**

**1**answer

### What is the coskeleton tower of a quasi-category?

**6**

**1**answer

### Understanding two proofs in Dwyer and Kan article “Simplicial Localizations”

**3**

**0**answers

### Comparing two simplicial resolution in a model category

**11**

**0**answers

### Are the Alexander-Whitney and Eilenberg-Zilber maps homotopy inverse in arbitrary abelian categories?

**2**

**0**answers

### On the paradox that $n$-coskeletal simplicial sets model all homotopy types

**3**

**1**answer

### Bisimplicial sets and homology

**7**

**0**answers

### Does geometric realization commute with passing to the compactly generated topology?

**4**

**0**answers

### Homotopy equivalences between singular simplicial sets

**7**

**1**answer

### About fibrations with fibre Eilenberg-MacLane spaces

**5**

**1**answer

### How are simplicial sets with Quillen model structure a simplicial model category?

**2**

**0**answers

### Transfer map between simplicial manifolds

**7**

**1**answer

### Compatibility of Grothendieck construction with pullback

**5**

**1**answer

### Reference request for statement on nlab: Reedy (co)fibrancy of (co)simplicial objects

**4**

**1**answer

### Homotopy limits of Simplicial sets

**6**

**0**answers

### Dowker and neighborhood complexes: reference wanted

**1**

**0**answers

### Criterion for bisemisimplicial sets to be a manifold

**13**

**1**answer

### Weak complicial sets: Are the morphisms too strict?

**5**

**0**answers

### What good is a cofibration of categories?

**4**

**3**answers

### 0-1 matrix corresponding to an abstract simplicial complex

**8**

**1**answer

### Is totalization (of a cosimplicial category) a part of some adjunction?

**5**

**0**answers

### Resolution of Simplicial Commutative Rings

**4**

**0**answers

### Does a fibrant simplicial set give fibrant diagram

**4**

**1**answer

### Kan condition for bar construction

**12**

**0**answers

### Kan's simplicial formula for the Whitehead product

**5**

**0**answers

### relative spectrum in derived algebraic geometry

**12**

**1**answer

### Configuration spaces, Ran spaces, free semilattices, Vietoris spaces and power objects

**7**

**1**answer

### Homotopy type of the semi-simplicial set of symmetric groups

**4**

**0**answers

### Long exact sequence of Quillen derived functors

**5**

**0**answers

### Is a retract of contractible augmented simplicial complex contractible?

**3**

**0**answers

### Homotopy limits commute with right Quillen functors

**10**

**1**answer

### On HTT's Lemma 3.3.4.1

**3**

**0**answers

### Additional structure on augmented simplicial sets

**2**

**0**answers

### Any two faces of the standard simplex are “homotopic”?

**7**

**1**answer

### Is every category equivalent to the fundamental category of a directed space?

**8**

**0**answers

### Local formula for the signature of $4k$-manifold

**4**

**1**answer

### Reedy cofibrancy of the bar construction for algebras

**7**

**2**answers

### Classifying space as the geometric realization of the nerve of $G$ viewed as a small category

**3**

**1**answer

### Homotopy equivalence of geometric realizations

**1**

**1**answer

### A groupoid which is homotopy equivalent to $BG$

**4**

**1**answer

### Homology of simplicial complex versus homology of simplicial _set_

**4**

**0**answers

### category of simplicial filters

**10**

**1**answer

### Realisation of maps between spheres by simplicial maps

**16**

**2**answers

### Teaching Steenrod Operations

**18**

**4**answers

### An abstract nonsense proof of the Hurewicz theorem

**3**

**0**answers