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Found 6 from your keywords: subject="Category Theory"
cover
Simplicial and Dendroidal Homotopy Theory
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Gijs Heuts, Ieke Moerdijk

This open access book offers a self-contained introduction to the homotopy theory of simplicial and dendroidal sets and spaces. These are essential for the study of categories, operads, and algebraic structure up to coherent homotopy. The dendroidal theory combines the combinatorics of trees with the theory of Quillen model categories. Dendroidal sets are a natural generalization of simplic…

Edition
1
ISBN/ISSN
978-3-031-10447-3
Collation
Mathematics
Series Title
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Call Number
510
cover
Equivariant Ordinary Homology and Cohomology
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COSTENOBLE, Steven R.WANER, Stefan

Filling a gap in the literature, this book takes the reader to the frontiers of equivariant topology, the study of objects with specified symmetries. The discussion is motivated by reference to a list of instructive “toy” examples and calculations in what is a relatively unexplored field. The authors also provide a reading path for the first-time reader less interested in working through so…

Edition
-
ISBN/ISSN
978-3-319-50448-3
Collation
1 b/w illustrations
Series Title
-
Call Number
-
cover
Topologie algébrique Chapitres 1 à 4
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BOURBAKI, N.

Ce livre des Éléments de mathématique est consacré à la Topologie algébrique. Les quatre premiers chapitres présentent la théorie des revêtements d'un espace topologique et du groupe de Poincaré. On construit le revêtement universel d'un espace connexe pointé délaçable et on établit l'équivalence de catégories entre revêtements de cet espace et actions du groupe de Poincaré. …

Edition
-
ISBN/ISSN
978-3-662-49361-8
Collation
-
Series Title
-
Call Number
-
cover
An Invitation to General Algebra and Universal Constructions
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BERGMAN, George M.

Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying…

Edition
Ed. 1
ISBN/ISSN
978-3-319-11478-1
Collation
X, 572
Series Title
Universitext
Call Number
512 BER i
cover
Homotopical Topology
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FOMENKO , Anatoly

This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I. M. Gelfand. The first English translation, done many decades ago, remains very much in demand, although it has been long out-of-print and is difficult to obtain. Therefore, this updated English edition will be much welcomed by the mathematical community. Distinctive features of this boo…

Edition
-
ISBN/ISSN
978-3-319-23487-8
Collation
XI, 627
Series Title
-
Call Number
510
cover
Minimal Free Resolutions over Complete Intersections
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EISENBUD, DavidPEEVA, Irena

This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the elegant construction of the minimal free resolution of the residue field by Tate in 1957. The theory extends the theory of matrix factorizations of …

Edition
1
ISBN/ISSN
978-3-319-26436-3
Collation
X, 107
Series Title
Lecture Notes in Mathematics
Call Number
-