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Handbook of Categorical Algebra
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  • Cited by 12
  • Cited by
    This book has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Zafiris, Elias 2006. Category-theoretic analysis of the notion of complementarity for quantum systems. International Journal of General Systems, Vol. 35, Issue. 1, p. 69.

    Zafiris, Elias 2009. A sheaf-theoretic topos model of the physical ‘Continuum’ and its cohomological observable dynamics. International Journal of General Systems, Vol. 38, Issue. 1, p. 1.

    Sobocinski, Pawel Heindel, Tobias and Tarlecki, Andrzej 2011. Being Van Kampen is a universal property. Logical Methods in Computer Science, Vol. 7, Issue. 1,

    Vicary, Jamie 2012. Higher Semantics of Quantum Protocols. p. 606.

    Jacobs, Bart and Mandemaker, Jorik 2012. The Expectation Monad in Quantum Foundations. Electronic Proceedings in Theoretical Computer Science, Vol. 95, Issue. , p. 143.

    Cho, Kenta Jacobs, Bart Westerbaan, Bas and Westerbaan, Bram 2015. Quotient-Comprehension Chains. Electronic Proceedings in Theoretical Computer Science, Vol. 195, Issue. , p. 136.

    Ahman, Danel Ghani, Neil and Plotkin, Gordon D. 2016. Foundations of Software Science and Computation Structures. Vol. 9634, Issue. , p. 36.

    Nakaoka, Hiroyuki 2016. Biset Functors as Module Mackey Functors and its Relation to Derivators. Communications in Algebra, Vol. 44, Issue. 12, p. 5105.

    Milius, Stefan Pattinson, Dirk and Wißmann, Thorsten 2016. Foundations of Software Science and Computation Structures. Vol. 9634, Issue. , p. 107.

    Muro, Fernando and Raptis, Georgios 2017. K-theory of derivators revisited. Annals of K-Theory, Vol. 2, Issue. 2, p. 303.

    Musto, Benjamin Reutter, David and Verdon, Dominic 2018. The Morita Theory of Quantum Graph Isomorphisms. Communications in Mathematical Physics,

    Pech, Christian and Pech, Maja 2018. Fraïssé Limits in Comma Categories. Applied Categorical Structures, Vol. 26, Issue. 4, p. 799.

  • Volume 1: Basic Category Theory
  • Francis Borceux, Université Catholique de Louvain, Belgium
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Book description

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.


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