03050nam 2200589 450 991081365420332120170822144301.01-4704-0296-3(CKB)3360000000464889(EBL)3114386(SSID)ssj0000973829(PQKBManifestationID)11594952(PQKBTitleCode)TC0000973829(PQKBWorkID)10985165(PQKB)10187466(MiAaPQ)EBC3114386(RPAM)12102324(PPN)195415906(EXLCZ)99336000000046488920000711h20002000 uy| 0engur|n|---|||||txtccrProper maps of toposes /I. Moerdijk, J.J.C. VermeulenProvidence, Rhode Island :American Mathematical Society,[2000]©20001 online resource (125 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 705Description based upon print version of record.0-8218-2168-7 Includes bibliographical references.""Table of Contents""; ""Introduction""; ""Chapter I. Proper Maps""; ""Â1 Definition and Examples""; ""Â2 First Properties""; ""Â3 Beck-Chevalley Conditions""; ""Â4 Pretopos Sites""; ""Â5 Preservation under Pullback and Filtered Inverse Limits""; ""Â6 Propriety and Closed Maps""; ""Â7 Descent along Proper Maps""; ""Chapter II. Separated Maps""; ""Â1 Definition and Examples""; ""Â2 Formal Properties""; ""Â3 Hyperconnected Hausdorff Toposes""; ""Â4 Locally Connected and Locally Compact Maps of Locales""; ""Â5 A Topos Version of the Reeb Stability Theorem""""Â6 The Classical Reeb Stability Theorem""""Chapter III. Tidy Maps""; ""Â1 Definition and Examples""; ""Â2 First Properties""; ""Â3 The Beck-Chevalley Condition""; ""Â4 Stability under Change of Base""; ""Â5 Entire Maps""; ""Â6 Tidiness and Closed Maps""; ""Chapter IV. Strongly Separated Maps""; ""Â1 Definition of Strong Separation""; ""Â2 Elementary Properties""; ""Â3 Strongly Separated Coherent Toposes""; ""Â4 Galois Theory for Profinite Groupoids""; ""Chapter V. Relatively Tidy Maps and Lax Descent""; ""Â1 Path Toposes""; ""Â2 Lax Pullbacks of Toposes""""Â3 Relatively Tidy Maps""""Â4 Relatively Tidy Morphisms of Sites""; ""Â5 The Main Theorem""; ""Â6 Applications to Lax Descent""; ""References""Memoirs of the American Mathematical Society ;no. 705.ToposesMappings (Mathematics)Toposes.Mappings (Mathematics)510 s512/.55Moerdijk Ieke59494Vermeulen J. J. C(Jacob Johan Caspar),1957-MiAaPQMiAaPQMiAaPQBOOK9910813654203321Proper maps of toposes4093664UNINA