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Butterflies are an algebraic model of the morphisms of the homotopy category of crossed modules and were originally introduced by Behrang Noohi. Crossed complexes are algebraic structures which generalize crossed modules. The following dissertation is concerned with adapting butterflies to the full subcategory of crossed complexes called reduced n-crossed complexes.
A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Includes bibliographical references.
Ettore Aldrovandi, Professor Directing Dissertation; Jorge Piekarewicz, University Representative; Amod Agashe, Committee Member; Paolo Aluffi, Committee Member; Kathleen Petersen, Committee Member.
Florida State University
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