|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910788842403321 |
|
|
Autore |
Moerdijk Ieke |
|
|
Titolo |
Proper maps of toposes / / I. Moerdijk, J.J.C. Vermeulen |
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence, Rhode Island : , : American Mathematical Society, , [2000] |
|
©2000 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (125 p.) |
|
|
|
|
|
|
Collana |
|
Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 705 |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
|
|
Soggetti |
|
Toposes |
Mappings (Mathematics) |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Description based upon print version of record. |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references. |
|
|
|
|
|
|
Nota di contenuto |
|
""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"" |
|
|
|
|