On Joins and Construction of K(G, 1) Spaces

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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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)
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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