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Author: M. Barr
Publisher: Springer
Published: 2006-11-15
Total Pages: 251
ISBN-13: 3540369996
DOWNLOAD EBOOKDownload or read book Exact Categories and Categories of Sheaves written by M. Barr and published by Springer. This book was released on 2006-11-15 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author: M. Barr
Publisher:
Published: 2014-01-15
Total Pages: 256
ISBN-13: 9783662165225
DOWNLOAD EBOOKDownload or read book Exact Categories and Categories of Sheaves written by M. Barr and published by . This book was released on 2014-01-15 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author: Bo T. Stenström
Publisher:
Published: 1964
Total Pages: 140
ISBN-13: 9780387056784
DOWNLOAD EBOOKDownload or read book Global Differentiable Dynamics written by Bo T. Stenström and published by . This book was released on 1964 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author: M. P. Fourman
Publisher: Springer
Published: 2006-11-15
Total Pages: 798
ISBN-13: 3540348492
DOWNLOAD EBOOKDownload or read book Applications of Sheaves written by M. P. Fourman and published by Springer. This book was released on 2006-11-15 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author: Francis Borceux
Publisher: Springer
Published: 2006-11-14
Total Pages: 375
ISBN-13: 3540459855
DOWNLOAD EBOOKCategorical algebra and its applications contain several fundamental papers on general category theory, by the top specialists in the field, and many interesting papers on the applications of category theory in functional analysis, algebraic topology, algebraic geometry, general topology, ring theory, cohomology, differential geometry, group theory, mathematical logic and computer sciences. The volume contains 28 carefully selected and refereed papers, out of 96 talks delivered, and illustrates the usefulness of category theory today as a powerful tool of investigation in many other areas.
Download or read book Categorical Algebra and its Applications written by Francis Borceux and published by Springer. This book was released on 2006-11-14 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Categorical algebra and its applications contain several fundamental papers on general category theory, by the top specialists in the field, and many interesting papers on the applications of category theory in functional analysis, algebraic topology, algebraic geometry, general topology, ring theory, cohomology, differential geometry, group theory, mathematical logic and computer sciences. The volume contains 28 carefully selected and refereed papers, out of 96 talks delivered, and illustrates the usefulness of category theory today as a powerful tool of investigation in many other areas.
Author: Masaki Kashiwara
Publisher: Springer Science & Business Media
Published: 2005-12-19
Total Pages: 496
ISBN-13: 3540279504
DOWNLOAD EBOOKCategories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and sheaves in a systematic manner starting from scratch and continuing with full proofs to the most recent results in the literature, and sometimes beyond. The authors present the general theory of categories and functors, emphasizing inductive and projective limits, tensor categories, representable functors, ind-objects and localization.
Download or read book Categories and Sheaves written by Masaki Kashiwara and published by Springer Science & Business Media. This book was released on 2005-12-19 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and sheaves in a systematic manner starting from scratch and continuing with full proofs to the most recent results in the literature, and sometimes beyond. The authors present the general theory of categories and functors, emphasizing inductive and projective limits, tensor categories, representable functors, ind-objects and localization.
Author: P.I. Johnstone
Publisher: Springer
Published: 2006-11-15
Total Pages: 271
ISBN-13: 3540357629
DOWNLOAD EBOOKDownload or read book Indexed Categories and Their Applications written by P.I. Johnstone and published by Springer. This book was released on 2006-11-15 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author: Bradd T. Hart
Publisher: American Mathematical Soc.
Published:
Total Pages: 440
ISBN-13: 0821883828
DOWNLOAD EBOOKProceedings of a conference held at Centre de recherches mathematiques of the Universite de Montreal, June 18-20, 2009.
Download or read book Models, Logics, and Higher-dimensional Categories written by Bradd T. Hart and published by American Mathematical Soc.. This book was released on with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a conference held at Centre de recherches mathematiques of the Universite de Montreal, June 18-20, 2009.
Author: Aurelio Carboni
Publisher: Springer
Published: 2006-11-14
Total Pages: 497
ISBN-13: 3540464352
DOWNLOAD EBOOKWith one exception, these papers are original and fully refereed research articles on various applications of Category Theory to Algebraic Topology, Logic and Computer Science. The exception is an outstanding and lengthy survey paper by Joyal/Street (80 pp) on a growing subject: it gives an account of classical Tannaka duality in such a way as to be accessible to the general mathematical reader, and to provide a key for entry to more recent developments and quantum groups. No expertise in either representation theory or category theory is assumed. Topics such as the Fourier cotransform, Tannaka duality for homogeneous spaces, braided tensor categories, Yang-Baxter operators, Knot invariants and quantum groups are introduced and studies. From the Contents: P.J. Freyd: Algebraically complete categories.- J.M.E. Hyland: First steps in synthetic domain theory.- G. Janelidze, W. Tholen: How algebraic is the change-of-base functor?.- A. Joyal, R. Street: An introduction to Tannaka duality and quantum groups.- A. Joyal, M. Tierney: Strong stacks andclassifying spaces.- A. Kock: Algebras for the partial map classifier monad.- F.W. Lawvere: Intrinsic co-Heyting boundaries and the Leibniz rule in certain toposes.- S.H. Schanuel: Negative sets have Euler characteristic and dimension.-
Download or read book Category Theory written by Aurelio Carboni and published by Springer. This book was released on 2006-11-14 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: With one exception, these papers are original and fully refereed research articles on various applications of Category Theory to Algebraic Topology, Logic and Computer Science. The exception is an outstanding and lengthy survey paper by Joyal/Street (80 pp) on a growing subject: it gives an account of classical Tannaka duality in such a way as to be accessible to the general mathematical reader, and to provide a key for entry to more recent developments and quantum groups. No expertise in either representation theory or category theory is assumed. Topics such as the Fourier cotransform, Tannaka duality for homogeneous spaces, braided tensor categories, Yang-Baxter operators, Knot invariants and quantum groups are introduced and studies. From the Contents: P.J. Freyd: Algebraically complete categories.- J.M.E. Hyland: First steps in synthetic domain theory.- G. Janelidze, W. Tholen: How algebraic is the change-of-base functor?.- A. Joyal, R. Street: An introduction to Tannaka duality and quantum groups.- A. Joyal, M. Tierney: Strong stacks andclassifying spaces.- A. Kock: Algebras for the partial map classifier monad.- F.W. Lawvere: Intrinsic co-Heyting boundaries and the Leibniz rule in certain toposes.- S.H. Schanuel: Negative sets have Euler characteristic and dimension.-
Author: Leonid Positselski
Publisher: Springer Nature
Published: 2023-10-16
Total Pages: 225
ISBN-13: 3031379055
DOWNLOAD EBOOKSemi-Infinite Geometry is a theory of "doubly infinite-dimensional" geometric or topological objects. In this book the author explains what should be meant by an algebraic variety of semi-infinite nature. Then he applies the framework of semiderived categories, suggested in his previous monograph titled Homological Algebra of Semimodules and Semicontramodules, (Birkhäuser, 2010), to the study of semi-infinite algebraic varieties. Quasi-coherent torsion sheaves and flat pro-quasi-coherent pro-sheaves on ind-schemes are discussed at length in this book, making it suitable for use as an introduction to the theory of quasi-coherent sheaves on ind-schemes. The main output of the homological theory developed in this monograph is the functor of semitensor product on the semiderived category of quasi-coherent torsion sheaves, endowing the semiderived category with the structure of a tensor triangulated category. The author offers two equivalent constructions of the semitensor product, as well as its particular case, the cotensor product, and shows that they enjoy good invariance properties. Several geometric examples are discussed in detail in the book, including the cotangent bundle to an infinite-dimensional projective space, the universal fibration of quadratic cones, and the important popular example of the loop group of an affine algebraic group.
Download or read book Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes written by Leonid Positselski and published by Springer Nature. This book was released on 2023-10-16 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semi-Infinite Geometry is a theory of "doubly infinite-dimensional" geometric or topological objects. In this book the author explains what should be meant by an algebraic variety of semi-infinite nature. Then he applies the framework of semiderived categories, suggested in his previous monograph titled Homological Algebra of Semimodules and Semicontramodules, (Birkhäuser, 2010), to the study of semi-infinite algebraic varieties. Quasi-coherent torsion sheaves and flat pro-quasi-coherent pro-sheaves on ind-schemes are discussed at length in this book, making it suitable for use as an introduction to the theory of quasi-coherent sheaves on ind-schemes. The main output of the homological theory developed in this monograph is the functor of semitensor product on the semiderived category of quasi-coherent torsion sheaves, endowing the semiderived category with the structure of a tensor triangulated category. The author offers two equivalent constructions of the semitensor product, as well as its particular case, the cotensor product, and shows that they enjoy good invariance properties. Several geometric examples are discussed in detail in the book, including the cotangent bundle to an infinite-dimensional projective space, the universal fibration of quadratic cones, and the important popular example of the loop group of an affine algebraic group.
