- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- UBC Theses and Dissertations /
- Closures under span and intersection of three and four...
Open Collections
UBC Theses and Dissertations
UBC Theses and Dissertations
Closures under span and intersection of three and four subspaces Ye, Xinyi
Abstract
This article studies the closure under span and intersection of families of subspaces of a finite dimensional vector space. We show that the closure of three subspaces has a size of at most 28; the closure of four subspaces can be infinite. We prove the result for four subspaces by giving an example where the vector space is 𝔽³. Specifically, the closure of four lines in general positions in 𝔽³ is infinite if and only if 𝔽 has characteristic 0.
Item Metadata
| Title |
Closures under span and intersection of three and four subspaces
|
| Creator | |
| Supervisor | |
| Publisher |
University of British Columbia
|
| Date Issued |
2024
|
| Description |
This article studies the closure under span and intersection of families of subspaces of a finite dimensional vector space. We show that the closure of three subspaces has a size of at most 28; the closure of four subspaces can be infinite. We prove the result for four subspaces by giving an example where the vector space is 𝔽³. Specifically, the closure of four lines in general positions in 𝔽³ is infinite if and only if 𝔽 has characteristic 0.
|
| Genre | |
| Type | |
| Language |
eng
|
| Date Available |
2024-12-16
|
| Provider |
Vancouver : University of British Columbia Library
|
| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0447515
|
| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
|
| Graduation Date |
2025-05
|
| Campus | |
| Scholarly Level |
Graduate
|
| Rights URI | |
| Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International