# A note on a Holstein construction

## TL;DR

This paper clarifies and completes the details of Holstein's construction of a canonical Reedy fibrant resolution for a constant simplicial DG-category, addressing gaps and providing a clearer understanding of the process.

## Contribution

It provides a detailed clarification and fills gaps in Holstein's original construction of a Reedy fibrant resolution for simplicial DG-categories.

## Key findings

- Clarified the construction of Reedy fibrant resolutions
- Filled gaps in Holstein's original method
- Enhanced understanding of simplicial DG-category resolutions

## Abstract

We clarify details and fill certain gaps in the construction of a canonical Reedy fibrant resolution for a constant simplicial DG-category due to Holstein.