# Rational methods applied to sectional category and topological complexity

## TL;DR

This survey introduces rational homotopy theory techniques to approximate topological complexity and sectional category, providing a practical guide for non-specialists to apply these methods in algebraic topology.

## Contribution

It offers a comprehensive overview of applying rational homotopy theory to compute topological invariants like sectional category and topological complexity.

## Key findings

- Provides methods for rational approximations of topological complexity
- Guides non-specialists in applying rational homotopy techniques
- Connects rational homotopy theory with practical computations in topology

## Abstract

This survey is a guide for the non specialist on how to use rational homotopy theory techniques to get approximations of Farber's topological complexity, in particular, and of Schwarz's sectional category, in general.