Multiple disjunction for spaces of smooth embeddings

TL;DR

This paper establishes multirelative connectivity results for spaces of smooth embeddings by leveraging analogous findings about Poincare embeddings, advancing understanding in geometric topology.

Contribution

It introduces new multirelative connectivity theorems for smooth embedding spaces based on prior Poincare embedding results.

Findings

Connectivity statements for smooth embedding spaces

Extension of Poincare embedding results to smooth case

Enhanced understanding of embedding space topology

Abstract

We obtain multirelative connectivity statements about spaces of smooth embeddings, deducing these from analogous results about spaces of Poincare embeddings that were established in our previous paper.