Titlebook: Effective Kan Fibrations in Simplicial Sets; Benno van den Berg,Eric Faber Book 2022 The Editor(s) (if applicable) and The Author(s), unde

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https://doi.org/10.1007/978-3-476-03489-2y ingredient in this definition is the notion of a specific morphism between hyperdeformation retracts, called a .. After defining mould squares, effective fibrations are defined as arrows equipped with a right-lifting property with respect to a triple category of hyperdeformation retracts and mould

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https://doi.org/10.1007/978-3-662-39800-5n which the effective cofibrations are the left maps. The right maps in this AWFS will be called the effective trivial Kan fibrations. We show that this class of effective trivial Kan fibrations is cofibrantly generated by a small double category, local and coincides with the usual class of trivial

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https://doi.org/10.1007/978-3-642-51999-4us that we will then obtain an AWFS of hyperdeformation retracts and naive Kan fibrations. We show that in the category of simplicial sets the naive Kan fibration are cofibrantly generated by a small double category and are a local notion of fibred structure.

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https://doi.org/10.1007/978-3-642-51999-4us that we will then obtain an AWFS of hyperdeformation retracts and naive Kan fibrations. We show that in the category of simplicial sets the naive Kan fibration are cofibrantly generated by a small double category and are a local notion of fibred structure.