Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics

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Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics 47
2014-03 発行

Flat parallel displacements and holonomy groups in a topological connection theory

Kitada Kensaku
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In a topological connection theory, we introduce the notion of flat for a parallel displacement and investigate holonomy groups of flat parallel displacements. Moreover, we assert a classicafication theorem in a category of principal bundles with flat parallel displacements, and give a sufficient condition for the existence of an initial object in the category.