Homotopy Theory of Wedge of Spheres

Roy, Arundhati (2023) Homotopy Theory of Wedge of Spheres. Masters thesis, Indian Institute of Science Education and Research Kolkata.

[img] Text (MS dissertation of Arundhati Roy (18MS103))
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Abstract

In the first three chapters of this report I have discussed basic definitions, properties and some important theorems along with examples related to homotopy groups and CW-complexes. The fourth chapter is about homology groups of spaces and how they are related to homotopy groups of the same space. Then I have described the Whitehead products along with a few examples and properties, proceeding to their usage in the main theorem of this project, Hilton’s theorem, using which I have computed some homotopy groups of wedges of spheres.

Item Type: Thesis (Masters)
Additional Information: Supervisor: Dr. Somnath Basu
Uncontrolled Keywords: CW-complexes; Hilton’s Theorem; Homology Groups; Homotopy Groups; Homotopy Theory
Subjects: Q Science > QA Mathematics
Divisions: Department of Mathematics and Statistics
Depositing User: IISER Kolkata Librarian
Date Deposited: 17 Jan 2024 10:58
Last Modified: 17 Jan 2024 10:58
URI: http://eprints.iiserkol.ac.in/id/eprint/1550

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