Enriched categorical aspects of homological perturbation theory

TL;DR

This paper provides an enriched categorical framework for homological perturbation theory, detailing the formulation, proof, and functoriality of the homological perturbation lemma.

Contribution

It introduces an enriched categorical perspective to homological perturbation theory, enhancing understanding of its structures and properties.

Findings

Enriched categorical formulation of homological perturbation theory

Proof of the homological perturbation lemma within this framework

Analysis of functoriality properties of the lemma

Abstract

The paper presents an enriched categorical account of homological perturbation theory, including the formulation, proof and functoriality properties of the homological perturbation lemma.