Analysis in categories:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Kingston, Ontario
Queen's Univ.
1969
|
| Schriftenreihe: | Queen's papers in pure and applied mathematics
18 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | III, 131 S. |
Internformat
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| 264 | 1 | |a Kingston, Ontario |b Queen's Univ. |c 1969 | |
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| 650 | 4 | |a Analyse mathématique | |
| 650 | 4 | |a Catégories (Mathématiques) | |
| 650 | 4 | |a Categories (Mathematics) | |
| 650 | 4 | |a Functor theory | |
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Datensatz im Suchindex
| _version_ | 1804119864889049088 |
|---|---|
| adam_text | CONTENTS
I. Catégories and Functors 1
§1. Définitions and notations 1
§2. Functors 4
§3. Natural transformations 7
II. Representable functors and Adjoint Functors 10
§1. Representable Functors 10
§2. Universal Problems 13
§3. Adjoint Functors 16
§4. Representability and Ajointness 22
III. Limits in Catégories 25
SI. Infinité sums and products 25
§2. Left adjoint to hA 27
§3. Direct and inverse limits 29
IV. Fibered Catégories 36
SI. Lim inf in Calculus 36
§2. Fibrations and fibered catégories 41
§3. Cleavages over a category 47
V. 2 Categories and 2 Functors 54
51. 2 Categories and Groupoidal 2 categories 54
52. 2 Functors 59
53. 2 Natural transformations 66
VI. Category Valued Logic 68
51. Algebraic théories 68
52. Boolean algebras as a category 72
53. Boolean dogmas 74
54. Models and théories of a Boolean dogma 79
§5. Boolean models and Polyadic algebras of Halmos 83
VII. Non standard Methods 99
1.1. Schmieden Laugwitz s B model of the reals fR 88
1.2. y step functions and differential calculus 94
1.3. Convolution algebra and operational calculus 99
2.1. Profinite groups and ultrapowers 105
2.2. Boolean spaces and ultraproducts 109
3.1. Differential calculus in catégories 111
3.2. Intégrations in catégories 116
Appendix: Non standard Analysis of A. Robinson 120
Références and Comments 127
|
| any_adam_object | 1 |
| author | Takahashi, Shuichi |
| author_facet | Takahashi, Shuichi |
| author_role | aut |
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| callnumber-raw | QA3 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 380 |
| ctrlnum | (OCoLC)108460 (DE-599)BVBBV005672841 |
| dewey-full | 512/.89 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.89 |
| dewey-search | 512/.89 |
| dewey-sort | 3512 289 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV005672841 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:32:58Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003544499 |
| oclc_num | 108460 |
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| physical | III, 131 S. |
| psigel | TUB-nveb |
| publishDate | 1969 |
| publishDateSearch | 1969 |
| publishDateSort | 1969 |
| publisher | Queen's Univ. |
| record_format | marc |
| series | Queen's papers in pure and applied mathematics |
| series2 | Queen's papers in pure and applied mathematics |
| spelling | Takahashi, Shuichi Verfasser aut Analysis in categories by Shuichi Takahashi Kingston, Ontario Queen's Univ. 1969 III, 131 S. txt rdacontent n rdamedia nc rdacarrier Queen's papers in pure and applied mathematics 18 Analyse mathématique Catégories (Mathématiques) Categories (Mathematics) Functor theory Kategorie Mathematik (DE-588)4129930-9 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Kategorie Mathematik (DE-588)4129930-9 s Analysis (DE-588)4001865-9 s DE-604 Queen's papers in pure and applied mathematics 18 (DE-604)BV001889470 18 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003544499&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Takahashi, Shuichi Analysis in categories Queen's papers in pure and applied mathematics Analyse mathématique Catégories (Mathématiques) Categories (Mathematics) Functor theory Kategorie Mathematik (DE-588)4129930-9 gnd Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4129930-9 (DE-588)4001865-9 |
| title | Analysis in categories |
| title_auth | Analysis in categories |
| title_exact_search | Analysis in categories |
| title_full | Analysis in categories by Shuichi Takahashi |
| title_fullStr | Analysis in categories by Shuichi Takahashi |
| title_full_unstemmed | Analysis in categories by Shuichi Takahashi |
| title_short | Analysis in categories |
| title_sort | analysis in categories |
| topic | Analyse mathématique Catégories (Mathématiques) Categories (Mathematics) Functor theory Kategorie Mathematik (DE-588)4129930-9 gnd Analysis (DE-588)4001865-9 gnd |
| topic_facet | Analyse mathématique Catégories (Mathématiques) Categories (Mathematics) Functor theory Kategorie Mathematik Analysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003544499&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001889470 |
| work_keys_str_mv | AT takahashishuichi analysisincategories |