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Record Nr. |
UNINA9910813654203321 |
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Autore |
Moerdijk Ieke |
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Titolo |
Proper maps of toposes / / I. Moerdijk, J.J.C. Vermeulen |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2000] |
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©2000 |
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ISBN |
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Descrizione fisica |
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1 online resource (125 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 705 |
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Disciplina |
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Soggetti |
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Toposes |
Mappings (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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