Bibliographic Details
| Title: |
Complements of locally flat submanifolds are finite CW complexes |
| Authors: |
Ho, Andrew |
| Publication Year: |
2024 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Geometric Topology, Mathematics - Algebraic Topology, 57N45, 57Q12 |
| More Details: |
We show that if $Y$ is a compact topological manifold and $X$ is a locally flat submanifold, then the complement $Y - X$ is homotopy equivalent to a finite CW complex. This is a direct proof, and does not rely on much of the theory of topological manifolds.
Comment: 10 pages |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2402.03546 |
| Accession Number: |
edsarx.2402.03546 |
| Database: |
arXiv |
