A simplicial model for infinity properads

TL;DR

This paper develops a simplicial model structure for infinity properads, extending the existing model structure from props and dioperads, thus advancing the mathematical framework for higher algebraic structures.

Contribution

It introduces a new model structure on simplicially-enriched properads derived from props, providing a foundation for studying infinity properads.

Findings

Model structure on simplicially-enriched properads established

Extension of model structure from props to properads and dioperads

Facilitates higher algebraic structure analysis

Abstract

We show how the model structure on the category of simplicially-enriched (colored) props induces a model structure on the category of simplicially-enriched (colored) properads. A similar result holds for dioperads.