Piduri, Chandrahas (2017) On Joins and Construction of K(G, 1) Spaces. Masters thesis, Indian Institute of Science Education and Research Kolkata.
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PDF (MS dissertation of Piduri Chandrahas (12MS083))
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Official URL: https://www.iiserkol.ac.in
Abstract
The principal aim of this thesis is to construct K(G, 1) spaces for any given groupGwith discrete topology. The general construction of universalG-bundles and classifying spaces by Milnor is used to acheive this. Uniqueness of K(G, 1) spaces is established for a particular class of groups G. Milnor’s construction relies on the join of spaces. A major theme of this thesis is to compare various topological joins. We extend the notion of joins for an arbitrary family of spaces.
Item Type: | Thesis (Masters) |
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Additional Information: | Supervisor: Dr. Somnath Basu |
Uncontrolled Keywords: | CW-complexes; Fiber Bundles; Free Groups; Graphs; K(G, 1) spaces |
Subjects: | Q Science > QA Mathematics |
Divisions: | Department of Mathematics and Statistics |
Depositing User: | IISER Kolkata Librarian |
Date Deposited: | 08 Nov 2017 05:46 |
Last Modified: | 01 Jul 2019 09:21 |
URI: | http://eprints.iiserkol.ac.in/id/eprint/552 |
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