- BIUSTRE Home
- →
- Electronic Theses and Dissertations
- →
- Faculty of Sciences
- →
- View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.
| dc.contributor.supervisor | Gatsinzi, Jean Baptiste | |
| dc.contributor.author | Tefoetsile, Kelone | |
| dc.date.accessioned | 2025-09-01T13:00:33Z | |
| dc.date.available | 2025-09-01T13:00:33Z | |
| dc.date.issued | 2023-06-06 | |
| dc.identifier.citation | Tefoetsile,K. (2023) Leray-Serre Spectral Sequence and Some of its Applications. BIUST | en_US |
| dc.identifier.uri | https://repository.biust.ac.bw/handle/123456789/661 | |
| dc.description | Thesis (MSc of Mathematics and Statistical sciences)---Botswana International University of Science and Technology, 2023 | en_US |
| dc.description.abstract | The purpose of this thesis is to look at how the Leray-Serre spectral sequence is constructed and explore some of their applications. For the purpose of this thesis, our spectral sequences will be based on filtered complexes, however one can use exact couples. Spectral sequences have been one of the greatest achievements of Algebraic Topology since their invention by Leray in the late 1940’s, hence the name Leray-Serre spectral sequences. Ever since, they have become a very useful tool in many disciplines like Geometry, Topology and Algebra. For example, for a fibration, spectral sequences play an important role in identifying how the cohomology rings of the total space E, the base space B and the fibre F are related. We discuss the construction in brief and give its applications in computing the cohomology algebra of unitary groups, Stiefel and infinite dimensional complex Grassmannian manifolds, over Q. | en_US |
| dc.description.sponsorship | Botswana International University of Science and Technology (BIUST) and Simons Foundation. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | BIUST | en_US |
| dc.subject | Leray-Serre spectral sequence | en_US |
| dc.subject | Filtered complexes, | en_US |
| dc.subject | Algebraic Topology | en_US |
| dc.title | Leray-Serre Spectral Sequence and Some of its Applications | en_US |
| dc.description.level | msc | en_US |
| dc.description.accessibility | unrestricted | en_US |
| dc.description.department | mss | en_US |
Files in this item
This item appears in the following Collection(s)
-
Faculty of Sciences
This collection is made up of electronic theses and dissertations produced by post graduate students from Faculty of Sciences