Exact Categories and Categories of Sheaves PDF Download

Author: M. Barr
Publisher: Springer
ISBN: 3540369996
Category : Mathematics
Languages : en
Pages : 251

View

Book Description

Author: M. Barr
Publisher:
ISBN: 9783662165225
Category :
Languages : en
Pages : 256

View

Book Description

Author: Bo T. Stenström
Publisher:
ISBN: 9780387056784
Category : Associative rings
Languages : en
Pages : 140

View

Book Description

Author: Michael Barr
Publisher:
ISBN:
Category :
Languages : de
Pages :

View

Book Description

Author: Masaki Kashiwara
Publisher: Springer Science & Business Media
ISBN: 3540279490
Category : Mathematics
Languages : en
Pages : 496

View

Book Description
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: Jack Kelly
Publisher: American Mathematical Society
ISBN: 1470470411
Category : Mathematics
Languages : en
Pages : 172

View

Book Description
View the abstract.

Author: Bradd T. Hart
Publisher: American Mathematical Soc.
ISBN: 0821883828
Category : Mathematics
Languages : en
Pages : 440

View

Book Description
Proceedings of a conference held at Centre de recherches mathematiques of the Universite de Montreal, June 18-20, 2009.

Author: Joseph Bernstein
Publisher: Springer
ISBN: 3540484302
Category : Mathematics
Languages : en
Pages : 145

View

Book Description
The equivariant derived category of sheaves is introduced. All usual functors on sheaves are extended to the equivariant situation. Some applications to the equivariant intersection cohomology are given. The theory may be useful to specialists in representation theory, algebraic geometry or topology.

Author: Alexandru Dimca
Publisher: Springer Science & Business Media
ISBN: 3642188680
Category : Mathematics
Languages : en
Pages : 253

View

Book Description
Constructible and perverse sheaves are the algebraic counterpart of the decomposition of a singular space into smooth manifolds. This introduction to the subject can be regarded as a textbook on modern algebraic topology, treating the cohomology of spaces with sheaf (as opposed to constant) coefficients. The author helps readers progress quickly from the basic theory to current research questions, thoroughly supported along the way by examples and exercises.

Author: Aurelio Carboni
Publisher: Springer
ISBN: 3540464352
Category : Mathematics
Languages : en
Pages : 497

View

Book Description
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.-