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Fibered Correspondence

2007/07/16 by Aleks Kleyn, Kleyn, Aleks
Mathematics · #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.AT #math.DG

paper · pdf · doi:10.48550/arxiv.0707.2246

English text - 19 pages; Russian text - 21 pages

openalex publication_date 2007/07/16 · arxiv created 2007/12/06 · arxiv updated 2016/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Base of fibered correspondence is arbitrary correspondence. Fibered correspondence is interesting when we consider relationship between different bundles. However composition of fibered correspondences may not always be defined. Reduced fibered correspondence is defined only between fibers over the same point of base. Reduced fibered correspondence in bundle is called 2-ary fibered relation. We considered fibered equivalence and isomorphism theorem in case of fibered morphisms.

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