# Moore's Conjecture for Polyhedral Products

## TL;DR

This paper proves Moore's Conjecture for generalized moment-angle complexes and provides criteria to classify polyhedral products as elliptic or hyperbolic.

## Contribution

It extends Moore's Conjecture to new classes of polyhedral products and establishes a criterion for their geometric classification.

## Key findings

- Moore's Conjecture holds for generalized moment-angle complexes.
- A criterion is established to determine elliptic or hyperbolic nature of polyhedral products.
- The paper advances understanding of the geometric properties of polyhedral products.

## Abstract

Moore's Conjecture is shown to hold for generalized moment-angle complexes and a criterion is proved that determines when a polyhedral product is elliptic or hyperbolic.