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• W1568907627 abstract "In this paper we study the classifying theory of principal bundles in the parametrized setting, motivated by recent interest in higher gauge theory. Using simplicial techniques, we construct a product-preserving classifying space functor for groups in the category of spaces over a fixed space B. Additionally, we prove that the fiberwise geometric realization functor sends a large class of simplicial parametrized principal bundles to ordinary parametrized principal bundles. As an application we show that the fiberwise geometric realization of the universal simplicial principal bundle for a simplicial group G in the category of spaces over B gives rise to a parametrized principal bundle with structure group |G|." @default.
• W1568907627 created "2016-06-24" @default.
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• W1568907627 date "2012-03-12" @default.
• W1568907627 modified "2023-09-27" @default.
• W1568907627 title "Simplicial principal bundles in parametrized spaces" @default.
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• W1568907627 hasPublicationYear "2012" @default.
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