02614nam 2200577 450 991078887970332120170821172543.01-4704-0062-6(CKB)3360000000464669(EBL)3113910(SSID)ssj0000888785(PQKBManifestationID)11453143(PQKBTitleCode)TC0000888785(PQKBWorkID)10865997(PQKB)10592522(MiAaPQ)EBC3113910(RPAM)616494(PPN)195413687(EXLCZ)99336000000046466920140903h19931993 uy 0engur|n|---|||||txtccrAxiomization of passage from "local" structure to "global" object /Paul FeitProvidence, Rhode Island, United States :American Mathematical Society,1993.©19931 online resource (121 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 101, Number 485"January 1993, Volume 101, Number 485 (end of volume)"--Cover.0-8218-2546-1 Includes bibliographical references and index.""TABLE OF CONTENTS""; ""INTRODUCTION""; ""INDEX OF TERMS""; ""PART I: TERMINOLOGY""; ""1. Standard Notations""; ""2. Grothendieck Topologies""; ""PART II: CANOPIES""; ""3. The Category of Canopies""; ""4. Lifting a Universe of Subsets to Canopies""; ""5. A Topology for Canopies""; ""6. Functorial Properties of Canopies""; ""PART III: CANOPIES AND COLIMITS""; ""7. Monomorphisms""; ""8. Graph Reductions""; ""9. Absolute Covers and Limits in C[sup(P)]""; ""10. Pullback Systems""; ""PART IV: SMOOTHING""; ""11. The Smoothing Functor""; ""12. Plus Functors and Topological Properties""""13. Functorial Properties and Smoothing""""PART V: LOCAL AND GLOBAL STRUCTURES""; ""14. The Local and Global Axioms""; ""15. Lifting Layered Morphisms""; ""16. The Plus Topology""; ""REFERENCES""Memoirs of the American Mathematical Society ;Volume 101, Number 485.Geometry, AlgebraicCategories (Mathematics)ToposesGeometry, Algebraic.Categories (Mathematics)Toposes.516.3/5Feit Paul1959-1479833MiAaPQMiAaPQMiAaPQBOOK9910788879703321Axiomization of passage from "local" structure to "global" object3696154UNINA