Stratified homotopy theory of topological $\infty$-stacks: a toolbox

TL;DR

This paper develops foundational tools for stratified homotopy theory within the framework of topological $mbda$-stacks, enhancing the mathematical toolkit for studying complex stratified spaces.

Contribution

It introduces new definitions and calculational methods for stratified homotopy theory in the context of topological $mbda$-stacks, expanding the theoretical framework.

Findings

Established basic definitions for stratified homotopy theory of stacks.

Provided calculational tools for stratified topological stacks.

Enhanced the mathematical framework for stratified spaces.

Abstract

We exploit the theory of $\infty$-stacks to provide some basic definitions and calculational tools regarding stratified homotopy theory of stratified topological stacks.