Handbook of categorical algebra, 1, Basic category theory:
A Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence, with the first being essentially self-contained, and are...
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
1994
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Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 50 |
Schlagworte: | |
Online-Zugang: | BSB01 FHN01 Volltext |
Zusammenfassung: | A Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence, with the first being essentially self-contained, and are accessible to graduate students with a good background in mathematics. Volume 1, which is devoted to general concepts, can be used for advanced undergraduate courses on category theory. After introducing the terminology and proving the fundamental results concerning limits, adjoint functors and Kan extensions, the categories of fractions are studied in detail; special consideration is paid to the case of localizations. The remainder of the first volume studies various 'refinements' of the fundamental concepts of category and functor |
Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
Beschreibung: | 1 online resource (xv, 345 pages) |
ISBN: | 9780511525858 |
DOI: | 10.1017/CBO9780511525858 |
Internformat
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650 | 4 | |a Categories (Mathematics) | |
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Datensatz im Suchindex
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any_adam_object | |
author | Borceux, Francis 1948- |
author_facet | Borceux, Francis 1948- |
author_role | aut |
author_sort | Borceux, Francis 1948- |
author_variant | f b fb |
building | Verbundindex |
bvnumber | BV043942488 |
classification_rvk | SK 320 |
collection | ZDB-20-CBO |
ctrlnum | (ZDB-20-CBO)CR9780511525858 (OCoLC)967776824 (DE-599)BVBBV043942488 |
dewey-full | 512/.55 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512/.55 |
dewey-search | 512/.55 |
dewey-sort | 3512 255 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1017/CBO9780511525858 |
format | Electronic eBook |
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id | DE-604.BV043942488 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:39:17Z |
institution | BVB |
isbn | 9780511525858 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351458 |
oclc_num | 967776824 |
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owner | DE-12 DE-92 |
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physical | 1 online resource (xv, 345 pages) |
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publishDate | 1994 |
publishDateSearch | 1994 |
publishDateSort | 1994 |
publisher | Cambridge University Press |
record_format | marc |
series2 | Encyclopedia of mathematics and its applications |
spelling | Borceux, Francis 1948- Verfasser aut Handbook of categorical algebra, 1, Basic category theory Francis Borceux Cambridge Cambridge University Press 1994 1 online resource (xv, 345 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 50 Title from publisher's bibliographic system (viewed on 05 Oct 2015) A Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence, with the first being essentially self-contained, and are accessible to graduate students with a good background in mathematics. Volume 1, which is devoted to general concepts, can be used for advanced undergraduate courses on category theory. After introducing the terminology and proving the fundamental results concerning limits, adjoint functors and Kan extensions, the categories of fractions are studied in detail; special consideration is paid to the case of localizations. The remainder of the first volume studies various 'refinements' of the fundamental concepts of category and functor Categories (Mathematics) Erscheint auch als Druckausgabe 978-0-521-06119-3 Erscheint auch als Druckausgabe 978-0-521-44178-0 https://doi.org/10.1017/CBO9780511525858 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Borceux, Francis 1948- Handbook of categorical algebra, 1, Basic category theory Categories (Mathematics) |
title | Handbook of categorical algebra, 1, Basic category theory |
title_auth | Handbook of categorical algebra, 1, Basic category theory |
title_exact_search | Handbook of categorical algebra, 1, Basic category theory |
title_full | Handbook of categorical algebra, 1, Basic category theory Francis Borceux |
title_fullStr | Handbook of categorical algebra, 1, Basic category theory Francis Borceux |
title_full_unstemmed | Handbook of categorical algebra, 1, Basic category theory Francis Borceux |
title_short | Handbook of categorical algebra, 1, Basic category theory |
title_sort | handbook of categorical algebra 1 basic category theory |
topic | Categories (Mathematics) |
topic_facet | Categories (Mathematics) |
url | https://doi.org/10.1017/CBO9780511525858 |
work_keys_str_mv | AT borceuxfrancis handbookofcategoricalalgebra1basiccategorytheory |