Classification of \(T^ 2-bundles\) over \(T^ 2\) (Q796143)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Classification of \(T^ 2-bundles\) over \(T^ 2\) |
scientific article; zbMATH DE number 3864103
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of \(T^ 2-bundles\) over \(T^ 2\) |
scientific article; zbMATH DE number 3864103 |
Statements
Classification of \(T^ 2-bundles\) over \(T^ 2\) (English)
0 references
1983
0 references
All \(T^ 2\)-bundles over \(T^ 2 (=S^ 1\times S^ 1)\) are constructed and classified up to bundle isomorphism. It is shown, moreover, that their total spaces are classified up to homeomorphism by their fundamental groups. These results are achieved by direct constructions using matrices and not involving classifying spaces.
0 references
monodromy
0 references
fundamental group
0 references
continued fraction
0 references
2-torus bundles over the 2-torus
0 references
0.92892593
0 references
0.8974556
0 references
0.8958124
0 references
0.8949658
0 references
0.8938931
0 references
0.89276844
0 references
0 references
0.8826382
0 references
