Description of the vector $G$-bundles over $G$-spaces with quasi-free proper action of discrete group $G$

TL;DR

This paper characterizes vector G-bundles over G-spaces with quasi-free proper actions of discrete groups using classifying spaces, providing a theoretical framework for understanding their structure.

Contribution

It offers a new description of vector G-bundles over G-spaces with quasi-free proper actions via classifying spaces, advancing the theoretical understanding.

Findings

Provides a classification framework for vector G-bundles

Connects G-bundles with classifying space theory

Enhances understanding of G-bundles over G-spaces

Abstract

We give a description of the vector $G$-bundles over $G$-spaces with quasi-free proper action of discrete group $G$ in terms of the classifying space.