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Tool and Object:

A History and Philosophy of Category Theory
Front Cover
Ralf Krm̲er
1 Review
Springer, 2007 - Mathematics - 367 pages
Category theory is a general mathematical theory of structures and of structures of structures. It occupied a central position in contemporary mathematics as well as computer science. This book describes the history of category theory whereby illuminating its symbiotic relationship to algebraic topology, homological algebra, algebraic geometry and mathematical logic and elaboratively develops the connections with the epistemological significance.
  

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Selected pages

Contents

XVIII
1
XIX
3
XX
6
XXI
7
XXII
9
XXIII
10
XXIV
11
XXV
13
CXVI
158
CXVIII
159
CXIX
161
CXX
163
CXXI
164
CXXII
169
CXXIII
170
CXXIV
172

XXVI
15
XXVII
16
XXVIII
20
XXIX
21
XXX
22
XXXI
23
XXXII
25
XXXIII
26
XXXIV
29
XXXV
30
XXXVI
32
XXXVII
34
XXXVIII
36
XL
37
XLI
39
XLII
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XLIII
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XLV
42
XLVI
44
XLVII
45
XLVIII
46
XLIX
49
L
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LIII
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LV
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LVI
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LVII
55
LVIII
56
LIX
58
LX
60
LXI
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LXIII
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LXIV
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LXV
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LXVI
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LXVII
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LXVIII
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LXIX
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LXX
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LXXI
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LXXII
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LXXIII
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LXXIV
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LXXV
83
LXXVI
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LXXVII
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LXXVIII
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LXXIX
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LXXX
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LXXXII
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LXXXIV
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LXXXV
101
LXXXVI
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LXXXVII
106
LXXXVIII
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LXXXIX
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XC
110
XCI
111
XCII
115
XCIII
117
XCIV
118
XCVI
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XCVII
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XCIX
125
C
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CI
128
CII
129
CIII
130
CIV
131
CV
132
CVI
134
CVII
135
CVIII
137
CIX
140
CX
142
CXI
147
CXII
148
CXIII
151
CXIV
153
CXV
155
CXXV
174
CXXVI
175
CXXVII
178
CXXIX
181
CXXX
185
CXXXI
189
CXXXII
193
CXXXIII
194
CXXXV
195
CXXXVI
196
CXXXVII
199
CXXXVIII
200
CXL
202
CXLII
203
CXLIII
204
CXLIV
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CXLV
207
CXLVII
208
CXLVIII
209
CXLIX
210
CL
211
CLI
214
CLII
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CLIV
221
CLV
222
CLVI
223
CLVIII
224
CLIX
225
CLX
228
CLXI
229
CLXII
232
CLXIII
235
CLXIV
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CLXVI
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CLXVII
241
CLXIX
243
CLXX
244
CLXXI
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CLXXII
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CLXXIII
248
CLXXIV
249
CLXXV
250
CLXXVI
251
CLXXVII
253
CLXXIX
255
CLXXX
261
CLXXXI
263
CLXXXII
264
CLXXXIV
266
CLXXXVI
267
CLXXXVII
269
CLXXXIX
273
CXC
276
CXCI
279
CXCII
281
CXCIII
282
CXCIV
283
CXCV
284
CXCVII
285
CXCVIII
288
CXCIX
290
CC
291
CCI
292
CCII
294
CCIII
295
CCIV
296
CCV
300
CCVI
303
CCVII
306
CCVIII
310
CCIX
314
CCX
315
CCXI
317
CCXII
318
CCXIV
319
CCXV
320
CCXVI
342
CCXVII
347
Copyright

Common terms and phrases

abelian category abelian groups actually algebraic geometry algebraic topology analysis applications arrows axiomatic axioms Bénabou Bourbaki Buchsbaum Cartan and Eilenberg categorial concepts category theory Čech coefficients cognition cohomology complex concept of category concerning considered constructions context defined derived functors Dieudonné different difficulties discussed duality Eilenberg 1956 Eilenberg and Mac Eilenberg and Steenrod elements epistemology equivalence example fact faisceau fibre field find finite first fixed foncteurs function Grothendieck 1957 Grothendieck universes Hence historical homological algebra homology groups homology theory homomorphisms idea infinite influence injective intuitive isomorphism justified Kreisel Lane’s language Lawvere Lefschetz Leray Mac Lane mappings mathematicians mathematics McLarty means module morphisms notion objects particular philosophical Poincaré precisely present presheaf problem proof properties propositions question relation role sense sequence Serre set theory set-theoretical foundations sheaf sheaves stress structure sufficient term terminology theorem Tôhoku paper topological space topos universes Zariski Zariski topology

References to this book

References from web pages

empik.com - Tool and Object - Krömer Ralf- 408.49zł
Kup Teraz: Tool and Object - Krömer Ralf, tylko w empik.com: 408.49 zł. Darmowy odbiór w salonie
www.empik.com/ tool-and-object,937642,p

livre tool and object: a history and philosophy of category theory ...
Tool and object: a history and philosophy of category theory. Auteur(s) : krömer Ralf Date de parution: 02-2007 Langue : ANGLAIS 368p. Hardback ...
www.lavoisier.fr/ notice/ frOOO23ALO2KLXL2.html

Tool and Object
Tool and Object: A History and Philosophy of Category Theory (Science Networks. Historical Studies). Purchase this Book. Source. Medium: Hardcover ...
portal.acm.org/ citation.cfm?id=1296111

Librairie & Documentation internationale - Ecosphère - TOOL AND ...
TOOL AND OBJECT : A HISTORY AND PHILOSOPHY OF CATEGORY THEORY, Librairie & Documentation internationale - Ecosphère.
www.librairie-ecosphere.com/ Default.aspx?ViewKey=VueWebKey_Article_Popup& IDArticle=34350

Ralf Krömer La théorie des catégories : un outil d’analyse ...
Ralf Krömer, Tool and Object. A History and Philosophy of Category Theory, Birkhäuser, 2007. Autres séances :. - 11-12 janvier 2008 : Mathématiques/Musique ...
recherche.ircam.fr/ equipes/ repmus/ mamux/ ProgMaMu-Phi-X-Dec07.pdf

Cover 1&4 US.indd
G. U. ST. 2. 0. 0. 6. springer.com. ABCD. ABCD. 233 Spring Street. newyork, NY 10013. PRSRT-STD. us POSTAGE. PAID. SPRINGER. Apress. AIP Press ...
www.springer.com/ cda/ content/ document/ cda_downloaddocument/ Springer_News_AUGUST_2006.pdf?SGWID=0-0-45-301591-0& tease...

Buchbesprechungen
Ralf Kromer: Tool and Object. A History and Philosophy of Category Theory. (Birkhauser Verlag) 2007, 367 Seiten, ISBN 978-3-7643-7523-2 ...
www.springerlink.com/ index/ b36162413620vg29.pdf

Bibliographic information

QR code for Tool and Object
TitleTool and Object: A History and Philosophy of Category Theory
Volume 32 of Science Networks - Historical Studies, 32
Volume 32 of Science networks
EditorRalf Krm̲er
PublisherSpringer, 2007
ISBN3764375248, 9783764375249
Length367 pages
Subjects › 

Mathematics / Group Theory
  
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