A horn-like characterization of the fibrant objects in the minimal model structure on simplicial sets

TL;DR

This paper characterizes fibrant objects in the minimal model structure on simplicial sets using a horn-like lifting condition, providing a new perspective on their structure.

Contribution

It introduces a horn-like characterization of fibrant objects in the minimal model structure on simplicial sets, offering a novel approach to understanding their properties.

Findings

Fibrant objects are characterized by a specific lifting condition.

The lifting condition resembles horn inclusions used in Kan complexes.

Provides a new perspective on the structure of fibrant objects.

Abstract

We show that the fibrant objects in the minimal model structure on the category of simplicial sets are characterized by a lifting condition with respect to maps which resemble the horn inclusions that define Kan complexes.