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Title: | 𝑆-fibrations and Calculus Left Fractions |
Authors: | Behera, A Mohapatra, S R |
Keywords: | 𝑆-fibrations Calculus Left Fractions |
Issue Date: | Apr-2016 |
Citation: | International Conference on Healthcare, Applied Science and Engineering(ICHAE), Bangkok, Thailand, 2-3 April 2016 |
Abstract: | Let 𝒞 be any small 𝒰-category, where 𝒰 is a fixed Grothendeick universe. Let 𝑆 be a set of morphisms in the category 𝒞. Let 𝒞[𝑆−1] be the category of fractions of 𝑆 and 𝐹𝑆∶ 𝒞 → 𝒞[𝑆−1] be the canonical functor. For convenience we write 𝐹𝑆=𝐹. Bauer and Dugundji [2] have introduced the concept of 𝑆-fibration, weak 𝑆-fibration, 𝑆-cofibration and weak 𝑆-cofibration in the category 𝒞 and have explored the properties of these concepts. There are some other advantages over the assumption that the set of morphisms 𝑆 admits a calculus of left (right) fractions [4, 6]. In this note we study some cases showing how the assumption that 𝑆 admits a calculus of left (right) fractions helps us to prove that weak 𝑆-fibration implies 𝑆-fibration and weak 𝑆-cofibration implies 𝑆-cofibration. |
Description: | Copyright belongs to proceeding publisher |
URI: | http://hdl.handle.net/2080/2482 |
Appears in Collections: | Conference Papers |
Files in This Item:
File | Description | Size | Format | |
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2016_ICHAE_ABehera_S-fibrations.pdf | 318.32 kB | Adobe PDF | View/Open |
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