Proper maps of toposes:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
2000
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
705 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 148, Number 705 (end of volume) |
| Beschreibung: | IX, 108 S. |
| ISBN: | 0821821687 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804128246824960000 |
|---|---|
| adam_text | TABLE OF CONTENTS
Introduction 1
CHAPTER I
Proper Maps 5
§1 Definition and Examples 5
§2 First Properties 10
§3 Beck Chevalley Conditions 13
§4 Pretopos Sites 17
§5 Preservation under Pullback and Filtered Inverse Limits 21
§6 Propriety and Closed Maps 25
§7 Descent along Proper Maps 30
CHAPTER II
Separated Maps 35
§1 Definition and Examples 35
§2 Formal Properties 37
§3 Hyperconnected Hausdorff Toposes 40
§4 Locally Connected and Locally Compact Maps of Locales 42
§5 A Topos Version of the Reeb Stability Theorem 47
§6 The Classical Reeb Stability Theorem 50
CHAPTER III
Tidy Maps 53
§1 Definition and Examples 53
§2 First Properties 56
§3 The Beck Chevalley Condition 58
§4 Stability under Change of Base 59
§5 Entire Maps 65
§6 Tidiness and Closed Maps 72
CHAPTER IV
Strongly Separated Maps 77
§1 Definition of Strong Separation 77
§2 Elementary Properties 78
§3 Strongly Separated Coherent Toposes 79
§4 Galois Theory for Profinite Groupoids 81
CHAPTER V
Relatively Tidy Maps and Lax Descent 86
vii
viii TABLE OF CONTENTS
§1 Path Toposes 86
§2 Lax Pullbacks of Toposes 88
§3 Relatively Tidy Maps 90
§4 Relatively Tidy Morphisms of Sites 95
§5 The Main Theorem 103
§6 Applications to Lax Descent 104
References 107
|
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| classification_rvk | SI 130 |
| ctrlnum | (OCoLC)44627219 (DE-599)BVBBV013453558 |
| dewey-full | 512/.55 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra 510 - Mathematics |
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| discipline | Mathematik |
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| id | DE-604.BV013453558 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:46:12Z |
| institution | BVB |
| isbn | 0821821687 |
| language | English |
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| physical | IX, 108 S. |
| publishDate | 2000 |
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| publisher | American Mathematical Society |
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| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Moerdijk, Ieke 1958- Verfasser (DE-588)1067170103 aut Proper maps of toposes I. Moerdijk ; J. J. C. Vermeulen Providence, RI American Mathematical Society 2000 IX, 108 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 705 Volume 148, Number 705 (end of volume) Algebra homologica larpcal Topoi (wiskunde) gtt Mappings (Mathematics) Toposes Abbildung Mathematik (DE-588)4000044-8 gnd rswk-swf Topos Mathematik (DE-588)4185717-3 gnd rswk-swf Topos Mathematik (DE-588)4185717-3 s Abbildung Mathematik (DE-588)4000044-8 s DE-604 Vermeulen, Jacob Johan Caspar 1957- Verfasser (DE-588)173427545 aut American Mathematical Society: Memoirs of the American Mathematical Society 705 (DE-604)BV008000141 705 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009184317&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Moerdijk, Ieke 1958- Vermeulen, Jacob Johan Caspar 1957- Proper maps of toposes American Mathematical Society: Memoirs of the American Mathematical Society Algebra homologica larpcal Topoi (wiskunde) gtt Mappings (Mathematics) Toposes Abbildung Mathematik (DE-588)4000044-8 gnd Topos Mathematik (DE-588)4185717-3 gnd |
| subject_GND | (DE-588)4000044-8 (DE-588)4185717-3 |
| title | Proper maps of toposes |
| title_auth | Proper maps of toposes |
| title_exact_search | Proper maps of toposes |
| title_full | Proper maps of toposes I. Moerdijk ; J. J. C. Vermeulen |
| title_fullStr | Proper maps of toposes I. Moerdijk ; J. J. C. Vermeulen |
| title_full_unstemmed | Proper maps of toposes I. Moerdijk ; J. J. C. Vermeulen |
| title_short | Proper maps of toposes |
| title_sort | proper maps of toposes |
| topic | Algebra homologica larpcal Topoi (wiskunde) gtt Mappings (Mathematics) Toposes Abbildung Mathematik (DE-588)4000044-8 gnd Topos Mathematik (DE-588)4185717-3 gnd |
| topic_facet | Algebra homologica Topoi (wiskunde) Mappings (Mathematics) Toposes Abbildung Mathematik Topos Mathematik |
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