# Spahn HTT, 4. limits and colimits

This is a subentry of a reading guide to HTT.

### 4.1

Definition 4.1: cofinal arrow Proposition 4.1.3.1: Cofinal arrows preserve colimits

### 4.2

Theorem 4.2.4.1: relation of $\infty$-categorial colimits and homotopy colimits in simplicially enriched categories.

Proposition 4.2.4.4 (and Corollary 4.2.4.7)in a simplicial model category every homotopy coherent diagram is equivalent to a commutative diagram

### 4.4 Examples for limits and colimits

construction of colimits from basic diagrams

Created on June 23, 2012 at 14:25:24. See the history of this page for a list of all contributions to it.