# Real intersection homology

## TL;DR

This paper introduces a new definition of intersection homology tailored for real algebraic varieties, extending the classical complex case to a real setting.

## Contribution

It provides a novel formulation of intersection homology specifically designed for real algebraic varieties, analogous to the well-known complex case.

## Key findings

- Defines intersection homology for real algebraic varieties
- Establishes parallels with Goresky and MacPherson's complex theory
- Lays groundwork for further topological studies in real algebraic geometry

## Abstract

We present a definition of intersection homology for real algebraic varieties that is analogous to Goresky and MacPherson's original definition of intersection homology for complex varieties.