Complements of locally flat submanifolds are finite CW complexes
| 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 |
| FullText | Text: Availability: 0 CustomLinks: – Url: http://arxiv.org/abs/2402.03546 Name: EDS - Arxiv Category: fullText Text: View this record from Arxiv MouseOverText: View this record from Arxiv – Url: https://resolver.ebsco.com/c/xy5jbn/result?sid=EBSCO:edsarx&genre=article&issn=&ISBN=&volume=&issue=&date=20240205&spage=&pages=&title=Complements of locally flat submanifolds are finite CW complexes&atitle=Complements%20of%20locally%20flat%20submanifolds%20are%20finite%20CW%20complexes&aulast=Ho%2C%20Andrew&id=DOI: Name: Full Text Finder (for New FTF UI) (s8985755) Category: fullText Text: Find It @ SCU Libraries MouseOverText: Find It @ SCU Libraries |
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| RecordInfo | BibRecord: BibEntity: Subjects: – SubjectFull: Mathematics - Geometric Topology Type: general – SubjectFull: Mathematics - Algebraic Topology Type: general – SubjectFull: 57N45, 57Q12 Type: general Titles: – TitleFull: Complements of locally flat submanifolds are finite CW complexes Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ho, Andrew IsPartOfRelationships: – BibEntity: Dates: – D: 05 M: 02 Type: published Y: 2024 |
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