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DC Field | Value | Language |
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dc.contributor.author | Behera, A | - |
dc.contributor.author | Mohapatra, S R | - |
dc.date.accessioned | 2016-04-07T14:07:51Z | - |
dc.date.available | 2016-04-07T14:07:51Z | - |
dc.date.issued | 2016-04 | - |
dc.identifier.citation | International Conference on Healthcare, Applied Science and Engineering(ICHAE), Bangkok, Thailand, 2-3 April 2016 | en_US |
dc.identifier.uri | http://hdl.handle.net/2080/2482 | - |
dc.description | Copyright belongs to proceeding publisher | en_US |
dc.description.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. | en_US |
dc.subject | 𝑆-fibrations | en_US |
dc.subject | Calculus | en_US |
dc.subject | Left Fractions | en_US |
dc.title | 𝑆-fibrations and Calculus Left Fractions | en_US |
dc.type | Article | en_US |
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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