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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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    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)
    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 11:16
    Last Modified: 01 Jul 2019 14:51
    URI: http://eprints.iiserkol.ac.in/id/eprint/552

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