# Classifying spaces for projections of immersions with controlled singularities

## TL;DR

This paper introduces a straightforward construction for classifying spaces of certain projected immersions, providing foundational structure theorems that enhance understanding of these geometric mappings.

## Contribution

It presents an explicit, simple method to construct classifying spaces for hyperplane projections of immersions, along with key structure theorems.

## Key findings

- Constructed explicit classifying spaces for projected immersions.
- Proved fundamental structure theorems for these classifying spaces.
- Enhanced understanding of the topology of projections of immersions.

## Abstract

We give an explicit simple construction for classifying spaces of maps obtained as hyperplane projections of immersions. We prove structure theorems for these classifying spaces.