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170324 ||| eng |
| 020 |
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|a 9780511525872
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| 050 |
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4 |
|a QA169
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| 100 |
1 |
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|a Borceux, Francis
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| 245 |
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|a Handbook of categorical algebra, 3: Categories of sheaves
|c Francis Borceux
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| 260 |
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|a Cambridge
|b Cambridge University Press
|c 1994
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| 300 |
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|a xvii, 522 pages
|b digital
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| 653 |
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|a Categories (Mathematics)
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b CBO
|a Cambridge Books Online
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| 490 |
0 |
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|a Encyclopedia of mathematics and its applications
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| 856 |
4 |
0 |
|u https://doi.org/10.1017/CBO9780511525872
|x Verlag
|3 Volltext
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| 082 |
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|a 512.55
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| 520 |
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|a The Handbook of Categorical Algebra is intended to give, in three volumes, a rather detailed account of what, ideally, everybody working in category theory should know, whatever the specific topic of research they have chosen. The book is planned also to serve as a reference book for both specialists in the field and all those using category theory as a tool. Volume 3 begins with the essential aspects of the theory of locales, proceeding to a study in chapter 2 of the sheaves on a locale and on a topological space, in their various equivalent presentations: functors, etale maps or W-sets. Next, this situation is generalized to the case of sheaves on a site and the corresponding notion of Grothendieck topos is introduced. Chapter 4 relates the theory of Grothendieck toposes with that of accessible categories and sketches, by proving the existence of a classifying topos for all coherent theories
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