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  • 1
    Online Resource
    Online Resource
    Handbook of categorical algebra.; 2,: Categories and structures / (1994)
    Cambridge :Cambridge University Press,
    Details
    UID:
    almahu_9948233866102882
    Format: 1 online resource (xvii, 443 pages) : , digital, PDF file(s).
    ISBN: 9780511525865 (ebook)
    Series Statement: Encyclopedia of mathematics and its applications ; volume 51
    Content: The 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. The second, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibred categories. There is ample material here for a graduate course in category theory, and the book should also serve as a reference for users.
    Note: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
    Additional Edition: Print version: ISBN 9780521441797
    Language: English
    URL: https://doi.org/10.1017/CBO9780511525865
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    HU Berlin
  • 2
    Online Resource
    Online Resource
    Handbook of categorical algebra (1994)
    Cambridge : Cambridge University Press
    Details
    UID:
    gbv_883388561
    Format: 1 Online-Ressource (xvii, 443 pages) , digital, PDF file(s).
    ISBN: 9780511525865
    Series Statement: Encyclopedia of mathematics and its applications volume 51
    Content: The 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. The second, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibred categories. There is ample material here for a graduate course in category theory, and the book should also serve as a reference for users.
    Note: Title from publisher's bibliographic system (viewed on 05 Oct 2015)
    Additional Edition: ISBN 9780521061223
    Additional Edition: ISBN 9780521441797
    Additional Edition: ISBN 9780521441797
    Additional Edition: ISBN 9780521061223
    Additional Edition: Erscheint auch als Druck-Ausgabe Borceux, Francis, 1948 - Handbook of categorical algebra ; 2: Categories and structures Cambridge : Cambridge Univ. Pr., 1994 ISBN 052144179X
    Additional Edition: ISBN 9780521441797
    Additional Edition: ISBN 9780521061223
    Additional Edition: Print version ISBN 9780521441797
    Language: English
    Subjects: Mathematics
    RVK:
    SK 320
    DOI: 10.1017/CBO9780511525865
    URL: Volltext
    URL: Inhaltstext
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    Open Access Request
    UB Potsdam
  • 3
    Book
    Book
    Handbook of categorical algebra; 2: Categories and structures (1994)
    Cambridge [u.a.] : Cambridge Univ. Press
    Show associated volumes
    Details
    UID:
    gbv_280689470
    Format: XVII, 443 S , graph. Darst
    ISBN: 052144179X
    Series Statement: Encyclopedia of mathematics and its applications 51
    In: 2
    Language: Undetermined
    URL: Inhaltstext
    Library Location Call Number Volume/Issue/Year Availability
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    Book
    Stabi Berlin get availability status
  • 4
    Book
    Book
    Categories and structures (1994)
    Cambridge [u.a.] : Cambridge Univ. Press
    Details
    UID:
    gbv_164222073
    Format: XVII, 443 S. , graph. Darst.
    Edition: 1. publ.
    ISBN: 052144179X , 9780521061223 , 9780521441797
    Series Statement: Handbook of categorical algebra / Francis Borceux 2
    Note: Literaturverz. S. 436 - 438 , Hier auch später erschienene, unveränderte Nachdrucke
    Language: English
    Subjects: Mathematics
    RVK:
    SK 320
    URL: Inhaltsverzeichnis
    URL: Inhaltstext
    Author information: Borceux, Francis 1948-
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    Book
    UB Potsdam get availability status
  • 5
    Book
    Book
    Handbook of categorical algebra; 2: Categories and structures (1994)
    Cambridge : Univ. Press
    Show associated volumes
    Details
    UID:
    b3kat_BV009939885
    Format: XVII, 443 S. , graph. Darst.
    Edition: 1. publ.
    ISBN: 052144179X , 9780521441797 , 9780521061223 , 0521061229
    Series Statement: Encyclopedia of mathematics and its applications 51
    Note: Hier auch später erschienene, unveränderte Nachdrucke
    In: 2
    Language: English
    Subjects: Mathematics
    RVK:
    SK 320
    URL: Inhaltsverzeichnis
    Author information: Borceux, Francis 1948-
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    Book
    TU Berlin get availability status
  • 6
    Book
    Book
    Handbook of categorical algebra.; 2,: Categories and structures / (1994)
    Show associated volumes
    Details
    UID:
    almafu_BV009939885
    Format: XVII, 443 S. : graph. Darst.
    Edition: 1. publ.
    ISBN: 0-521-44179-X , 978-0-521-44179-7 , 978-0-521-06122-3 , 0-521-06122-9
    Series Statement: Encyclopedia of mathematics and its applications 51
    Note: Hier auch später erschienene, unveränderte Nachdrucke
    In: Handbook of categorical algebra.
    Language: English
    Subjects: Mathematics
    RVK:
    SK 320
    URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006585436&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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  • 7
    Book
    Book
    Handbook of categorical algebra.; 2,: Categories and structures / (1994)
    Show associated volumes
    Details
    UID:
    almahu_BV009939885
    Format: XVII, 443 S. : graph. Darst.
    Edition: 1. publ.
    ISBN: 0-521-44179-X , 978-0-521-44179-7 , 978-0-521-06122-3 , 0-521-06122-9
    Series Statement: Encyclopedia of mathematics and its applications 51
    Note: Hier auch später erschienene, unveränderte Nachdrucke
    Language: English
    Subjects: Mathematics
    RVK:
    SK 320
    URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006585436&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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    Book
    HU Berlin get availability status
  • 8
    Online Resource
    Online Resource
    Handbook of categorical algebra : categories and structures (1994)
    Cambridge [England] :Cambridge University Press,
    Details
    UID:
    edocfu_9959245957002883
    Format: 1 online resource (xvii, 443 pages) : , digital, PDF file(s).
    ISBN: 1-139-88197-3 , 0-511-83402-0 , 1-107-38375-7 , 1-4619-4145-8 , 0-511-95794-7 , 1-107-39019-2 , 1-107-39861-4 , 0-511-52586-9
    Series Statement: Encyclopedia of mathematics and its applications ; v. 51
    Content: The 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. The second, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibred categories. There is ample material here for a graduate course in category theory, and the book should also serve as a reference for users.
    Note: Title from publisher's bibliographic system (viewed on 05 Oct 2015). , Cover; Half-title; Title; Copyright; Dedication; Contents; Preface to volume 2; Introduction to this handbook; 1 Abelian categories; 1.1 Zero objects and kernels; 1.2 Additive categories and biproducts; 1.3 Additive functors; 1.4 Abelian categories; 1.5 Exactness properties of abelian categories; 1.6 Additivity of abelian categories; 1.7 Union of subobjects; 1.8 Exact sequences; 1.9 Diagram chasing; 1.10 Some diagram lemmas; 1.11 Exact functors; 1.12 Torsion theories; 1.13 Localizations of abelian categories; 1.14 The embedding theorem; 1.15 Exercises; 2 Regular categories , 2.1 Exactness properties of regular categories2.2 Definition in terms of strong epimorphisms; 2.3 Exact sequences; 2.4 Examples; 2.5 Equivalence relations; 2.6 Exact categories; 2.7 An embedding theorem; 2.8 The calculus of relations; 2.9 Exercises; 3 Algebraic theories; 3.1 The theory of groups revisited; 3.2 A glance at universal algebra; 3.3 A categorical approach to universal algebra; 3.4 Limits and colimits in algebraic categories; 3.5 The exactness properties of algebraic categories; 3.6 The algebraic lattices of subobjects; 3.7 Algebraic functors; 3.8 Freely generated models , 3.9 Characterization of algebraic categories3.10 Commutative theories; 3.11 Tensor product of theories; 3.12 A glance at Morita theory; 3.13 Exercises; 4 Monads; 4.1 Monads and their algebras; 4.2 Monads and adjunctions; 4.3 Limits and colimits in categories of algebras; 4.4 Characterization of monadic categories; 4.5 The adjoint lifting theorem; 4.6 Monads with rank; 4.7 A glance at descent theory; 4.8 Exercises; 5 Accessible categories; 5.1 Presentable objects in a category; 5.2 Locally presentable categories; 5.3 Accessible categories; 5.4 Raising the degree of accessibility , 5.5 Functors with rank5.6 Sketches; 5.7 Exercises; 6 Enriched category theory; 6.1 Symmetric monoidal closed categories; 6.2 Enriched categories; 6.3 The enriched Yoneda lemma; 6.4 Change of base; 6.5 Tensors and cotensors; 6.6 Weighted limits; 6.7 Enriched adjunctions; 6.8 Exercises; 7 Topological categories; 7.1 Exponentiable spaces; 7.2 Compactly generated spaces; 7.3 Topological functors; 7.4 Exercises; 8 Fibred categories; 8.1 Fibrations; 8.2 Cartesian functors; 8.3 Fibrations via pseudo-functors; 8.4 Fibred adjunctions; 8.5 Completeness of a fibration; 8.6 Locally small fibrations , 8.7 Definability8.8 Exercises; Bibliography; Index , English
    Additional Edition: ISBN 0-521-06122-9
    Additional Edition: ISBN 0-521-44179-X
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    FU Berlin
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