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Simplicial and Dendroidal Homotopy Theory
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
Equivariant Ordinary Homology and Cohomology
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
- -
Topologie algébrique Chapitres 1 à 4
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
- -
Analytic Function Theory of Several Variables: Elements of Oka’s Coherence
The purpose of this book is to present the classical analytic function theory of several variables as a standard subject in a course of mathematics after learning the elementary materials (sets, general topology, algebra, one complex variable). This includes the essential parts of Grauert–Remmert's two volumes, GL227(236) (Theory of Stein spaces) and GL265 (Coherent analytic sheaves) with a l…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-981-10-0291-5
- Collation
- XVI, 397
- Series Title
- -
- Call Number
- 512.5 NOG a
Minimal Free Resolutions over Complete Intersections
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
- -
Abelian Groups
Written by one of the subject’s foremost experts, this book focuses on the central developments and modern methods of the advanced theory of abelian groups, while remaining accessible, as an introduction and reference, to the non-specialist. It provides a coherent source for results scattered throughout the research literature with lots of new proofs. The presentation highlights major tren…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-19422-6
- Collation
- XXI, 747
- Series Title
- Springer Monographs in Mathematics
- Call Number
- 512.2 FUC a
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