Tool and object: a history and philosophy of category theory
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
2007
|
| Schriftenreihe: | Science networks
32 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 3-7643-7523-X |
| Beschreibung: | XXXVI, 367 S. 24 cm |
Internformat
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| 245 | 1 | 0 | |a Tool and object |b a history and philosophy of category theory |c Ralf Krömer |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 2007 | |
| 300 | |a XXXVI, 367 S. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Science networks |v 32 | |
| 500 | |a 3-7643-7523-X | ||
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| 650 | 4 | |a Catégories (Mathématiques) - Histoire | |
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Datensatz im Suchindex
| _version_ | 1804136319526371328 |
|---|---|
| adam_text | Contents
Acknowledgements
General
Introduction
0.1
0.1.1
0.1.2
0.1.3
0.1.4
0.2
0.2.1
and a necessary change of perspective
0.2.2
0.2.3
0.2.3.1
0.2.3.2
versity. A recently rediscovered collection
0.2.4
0.3
0.3.1
0.3.2
0.3.2.1
0.3.2.2
0.3.2.3
1
1.1
1.1.1
1.1.2
mathematics
1.2
Contents
1.2.1 Formal
1.2.1.1
1.2.1.2
1.2.1.3
uses
1.2.2
1.2.2.1
1.2.2.2
and others
1.2.2.3
1.2.3
1.2.3.1
ting off
1.2.3.2
1.3
1.3.1
1.3.1.1
1.3.1.2
1.3.1.3
1.3.1.4
1.3.2
1.3.2.1
1.3.2.2
1.3.2.3
1.3.2.4
intuition?
1.3.2.5
1.3.2.6
Category theory in Algebraic Topology
2.1
2.1.1
2.1.2
2.1.2.1 Hopfs
point formula and the algebra of mappings
2.1.2.2 Hopf
2.1.2.3
always surjective
2.1.2.4
2.1.3
2.1.4
2.2
2.2.1
to the collaboration
Contents xi
2.2.1.1 Eilenberg:
2.2.1.2
2.2.1.3
2.2.2
2.2.3
cient theorems
2.2.4
2.2.5
2.2.6
2.3
2.3.1
2.3.1.1
text of their introduction
2.3.1.2
2.3.2
2.3.2.1 Eilenberg
to write the paper
2.3.2.2
general enough?
2.3.3
2.3.4
2.3.4.1
2.3.4.2
2.4 Eilenberg
2.4.1
2.4.1.1
2.4.1.2
2.4.1.3
2.4.2
2.4.3
2.5
2.5.1
2.5.2
2.6
3
3.1
3.1.1
3.1.1.1
3.1.1.2
tuitive concept
3.1.1.3
3.1.2
3.1.2.1
xii Contents
3.1.2.2
3.2
3.2.1
ogy
3.2.1.1
3.2.1.2
3.2.2
3.2.2.1
3.2.2.2
3.2.2.3
3.2.3
3.2.3.1
3.2.3.2
3.2.3.3
3.3
3.3.1
3.3.1.1
spondence
3.3.1.2
fibre spaces with structure sheaf
3.3.1.3
3.3.2
ical algebra
3.3.2.1
3.3.2.2
3.3.2.3
3.3.3
3.3.3.1
a topological space
3.3.3.2
3.3.3.3
3.3.3.4
3.3.3.5
tions and the
dieck theorem
3.3.4
3.3.4.1
3.3.4.2
3.3.4.3
that there are enough injective sheaves
3.3.4.4
3.4
3.4.1
on the abelian variable
Contents xiii
3.4.2
3.4.3
tribution
3.4.3.1
as an independent field of research?
3.4.3.2
4
4.1
4.1.1
4.1.1.1
4.1.1.2
the sets with structure paradigm
4.1.1.3
functor
4.1.1.4
predicate of having elements
4.1.2
4.1.2.1
4.1.2.2
4.1.2.3
4.2
4.2.1
4.2.2
for the Weil cohomology
4.2.3
Tannaka categories
4.3
5
5.1
5.1.1
5.1.2
5.1.3
5.1.4
5.2
5.2.1
5.2.2
5.2.3
5.2.3.1
5.2.3.2
5.2.3.3
5.3
5.3.1
xiv
5.3.1.1
5.3.1.2
explication
5.3.1.3
visited
5.3.1.4
5.3.1.5
5.3.2
5.3.2.1
5.3.2.2
to isomorphism
5.3.2.3
5.3.2.4
5.4
5.4.1
5.4.2
5.4.3
5.4.4
5.4.4.1
5.4.4.2
5.4.4.3
6
6.1
6.1.1
6.1.2
6.1.3
6.2
6.2.1
6.2.2
6.2.3
6.3
6.3.1
6.3.2
6.4
6.4.1
6.4.2
of category theory
6.4.2.1
disciplines
6.4.2.2
6.4.2.3
6.4.3
6.4.4
Coutente
6.4.4.1
6.4.4.2
set-theoretical foundations of category theory
6.4.4.3
Gabriel, and SGA
6.4.5
of category theory
6.4.5.1
6.4.5.2
of truth
6.4.5.3
due to category theory?
6.4.6
category theory
6.4.6.1
relative consistency of (I with ZF
6.4.6.2
category theory?
6.4.6.3
the role of large cardinal hypotheses
6.5
6.6
6.7
7
7.1
7.1.1
7.1.2
7.2
7.2.1
7.2.2
egories
7.2.3
7.3
7.3.1
try: geometric logic
7.3.2
7.3.2.1
7.3.2.2
7.4
7.4.1
7.4.2
CT
xvi Contents
7.5 General
ority
8
8.1
8.1.1
8.1.2
8.1.3
8.2
8.2.1
8.2.2
A Abbreviations
A.I Bibliographical information and related things
A.
A.
A.
A.
A.3 Bourbaki
Bibliography
Indexes
Author index
Subject index
|
| adam_txt |
Contents
Acknowledgements
General
Introduction
0.1
0.1.1
0.1.2
0.1.3
0.1.4
0.2
0.2.1
and a necessary change of perspective
0.2.2
0.2.3
0.2.3.1
0.2.3.2
versity. A recently rediscovered collection
0.2.4
0.3
0.3.1
0.3.2
0.3.2.1
0.3.2.2
0.3.2.3
1
1.1
1.1.1
1.1.2
mathematics
1.2
Contents
1.2.1 Formal
1.2.1.1
1.2.1.2
1.2.1.3
uses
1.2.2
1.2.2.1
1.2.2.2
and others
1.2.2.3
1.2.3
1.2.3.1
ting off'
1.2.3.2
1.3
1.3.1
1.3.1.1
1.3.1.2
1.3.1.3
1.3.1.4
1.3.2
1.3.2.1
1.3.2.2
1.3.2.3
1.3.2.4
intuition?
1.3.2.5
1.3.2.6
Category theory in Algebraic Topology
2.1
2.1.1
2.1.2
2.1.2.1 Hopfs
point formula and the "algebra of mappings"
2.1.2.2 Hopf
2.1.2.3
always surjective
2.1.2.4
2.1.3
2.1.4
2.2
2.2.1
to the collaboration
Contents xi
2.2.1.1 Eilenberg:
2.2.1.2
2.2.1.3
2.2.2
2.2.3
cient theorems
2.2.4
2.2.5
2.2.6
2.3
2.3.1
2.3.1.1
text of their introduction
2.3.1.2
2.3.2
2.3.2.1 Eilenberg
to write the paper
2.3.2.2
general enough?
2.3.3
2.3.4
2.3.4.1
2.3.4.2
2.4 Eilenberg
2.4.1
2.4.1.1
2.4.1.2
2.4.1.3
2.4.2
2.4.3
2.5
2.5.1
2.5.2
2.6
3
3.1
3.1.1
3.1.1.1
3.1.1.2
tuitive concept
3.1.1.3
3.1.2
3.1.2.1
xii Contents
3.1.2.2
3.2
3.2.1
ogy
3.2.1.1
3.2.1.2
3.2.2
3.2.2.1
3.2.2.2
3.2.2.3
3.2.3
3.2.3.1
3.2.3.2
3.2.3.3
3.3
3.3.1
3.3.1.1
spondence
3.3.1.2
fibre spaces with structure sheaf
3.3.1.3
3.3.2
ical algebra
3.3.2.1
3.3.2.2
3.3.2.3
3.3.3
3.3.3.1
a topological space
3.3.3.2
3.3.3.3
3.3.3.4
3.3.3.5
tions and the
dieck theorem
3.3.4
3.3.4.1
3.3.4.2
3.3.4.3
that there are enough injective sheaves
3.3.4.4
3.4
3.4.1
on the abelian variable
Contents xiii
3.4.2
3.4.3
tribution
3.4.3.1
as an independent field of research?
3.4.3.2
4
4.1
4.1.1
4.1.1.1
4.1.1.2
the "sets with structure" paradigm
4.1.1.3
functor
4.1.1.4
predicate of having elements
4.1.2
4.1.2.1
4.1.2.2
4.1.2.3
4.2
4.2.1
4.2.2
for the Weil cohomology
4.2.3
Tannaka categories
4.3
5
5.1
5.1.1
5.1.2
5.1.3
5.1.4
5.2
5.2.1
5.2.2
5.2.3
5.2.3.1
5.2.3.2
5.2.3.3
5.3
5.3.1
xiv
5.3.1.1
5.3.1.2
explication
5.3.1.3
visited
5.3.1.4
5.3.1.5
5.3.2
5.3.2.1
5.3.2.2
to isomorphism
5.3.2.3
5.3.2.4
5.4
5.4.1
5.4.2
5.4.3
5.4.4
5.4.4.1
5.4.4.2
5.4.4.3
6
6.1
6.1.1
6.1.2
6.1.3
6.2
6.2.1
6.2.2
6.2.3
6.3
6.3.1
6.3.2
6.4
6.4.1
6.4.2
of category theory
6.4.2.1
disciplines
6.4.2.2
6.4.2.3
6.4.3
6.4.4
Coutente
6.4.4.1
6.4.4.2
set-theoretical foundations of category theory
6.4.4.3
Gabriel, and SGA
6.4.5
of category theory
6.4.5.1
6.4.5.2
of truth
6.4.5.3
due to category theory?
6.4.6
category theory
6.4.6.1
relative consistency of (I with ZF
6.4.6.2
category theory?
6.4.6.3
the role of large cardinal hypotheses
6.5
6.6
6.7
7
7.1
7.1.1
7.1.2
7.2
7.2.1
7.2.2
egories
7.2.3
7.3
7.3.1
try: "geometric logic"
7.3.2
7.3.2.1
7.3.2.2
7.4
7.4.1
7.4.2
CT
xvi Contents
7.5 General
ority"
8
8.1
8.1.1
8.1.2
8.1.3
8.2
8.2.1
8.2.2
A Abbreviations
A.I Bibliographical information and related things
A.
A.
A.
A.
A.3 Bourbaki
Bibliography
Indexes
Author index
Subject index |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Krömer, Ralf |
| author_GND | (DE-588)132683784 |
| author_facet | Krömer, Ralf |
| author_role | aut |
| author_sort | Krömer, Ralf |
| author_variant | r k rk |
| building | Verbundindex |
| bvnumber | BV022301655 |
| callnumber-first | Q - Science |
| callnumber-label | QA169 |
| callnumber-raw | QA169 |
| callnumber-search | QA169 |
| callnumber-sort | QA 3169 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SG 590 |
| ctrlnum | (OCoLC)85242858 (DE-599)BVBBV022301655 |
| dewey-full | 512/.62 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.62 |
| dewey-search | 512/.62 |
| dewey-sort | 3512 262 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| era | Geschichte gnd Geschichte 1900-2000 gnd |
| era_facet | Geschichte Geschichte 1900-2000 |
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| id | DE-604.BV022301655 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:55:17Z |
| indexdate | 2024-07-09T20:54:31Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015511634 |
| oclc_num | 85242858 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-12 DE-210 DE-11 |
| owner_facet | DE-355 DE-BY-UBR DE-12 DE-210 DE-11 |
| physical | XXXVI, 367 S. 24 cm |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Science networks |
| series2 | Science networks |
| spelling | Krömer, Ralf Verfasser (DE-588)132683784 aut Tool and object a history and philosophy of category theory Ralf Krömer Basel [u.a.] Birkhäuser 2007 XXXVI, 367 S. 24 cm txt rdacontent n rdamedia nc rdacarrier Science networks 32 3-7643-7523-X Geschichte gnd rswk-swf Geschichte 1900-2000 gnd rswk-swf Categorieën (wiskunde) gtt Catégories (Mathématiques) - Histoire Catégories (Mathématiques) - Philosophie Geschichte Philosophie Categories (Mathematics) History Categories (Mathematics) Philosophy Philosophie (DE-588)4045791-6 gnd rswk-swf Kategorientheorie (DE-588)4120552-2 gnd rswk-swf Kategorientheorie (DE-588)4120552-2 s Geschichte 1900-2000 z DE-604 Philosophie (DE-588)4045791-6 s 1\p DE-604 Geschichte z 2\p DE-604 Science networks 32 (DE-604)BV002495563 32 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015511634&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Krömer, Ralf Tool and object a history and philosophy of category theory Science networks Categorieën (wiskunde) gtt Catégories (Mathématiques) - Histoire Catégories (Mathématiques) - Philosophie Geschichte Philosophie Categories (Mathematics) History Categories (Mathematics) Philosophy Philosophie (DE-588)4045791-6 gnd Kategorientheorie (DE-588)4120552-2 gnd |
| subject_GND | (DE-588)4045791-6 (DE-588)4120552-2 |
| title | Tool and object a history and philosophy of category theory |
| title_auth | Tool and object a history and philosophy of category theory |
| title_exact_search | Tool and object a history and philosophy of category theory |
| title_exact_search_txtP | Tool and object a history and philosophy of category theory |
| title_full | Tool and object a history and philosophy of category theory Ralf Krömer |
| title_fullStr | Tool and object a history and philosophy of category theory Ralf Krömer |
| title_full_unstemmed | Tool and object a history and philosophy of category theory Ralf Krömer |
| title_short | Tool and object |
| title_sort | tool and object a history and philosophy of category theory |
| title_sub | a history and philosophy of category theory |
| topic | Categorieën (wiskunde) gtt Catégories (Mathématiques) - Histoire Catégories (Mathématiques) - Philosophie Geschichte Philosophie Categories (Mathematics) History Categories (Mathematics) Philosophy Philosophie (DE-588)4045791-6 gnd Kategorientheorie (DE-588)4120552-2 gnd |
| topic_facet | Categorieën (wiskunde) Catégories (Mathématiques) - Histoire Catégories (Mathématiques) - Philosophie Geschichte Philosophie Categories (Mathematics) History Categories (Mathematics) Philosophy Kategorientheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015511634&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002495563 |
| work_keys_str_mv | AT kromerralf toolandobjectahistoryandphilosophyofcategorytheory |