31 results - showing 1 - 10
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Algebraic and Geometric Surgery by Andrew Ranicki
 
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Ebooks May 29, 2022 3

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Author
Andrew Ranicki
Publisher
Oxford University Press 2002
This book is an introduction to surgery theory: the standard classification method for high-dimensional manifolds. It is aimed at graduate students, who have already had a basic topology course, and would now like to understand the topology of high-dimensional manifolds.
Notes on the course Algebraic Topology by Boris Botvinnik
 
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Ebooks May 29, 2022 3

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Author
Boris Botvinnik
Publisher
University of Oregon 2010
Contents: Important examples of topological spaces; Constructions; Homotopy and homotopy equivalence; CW-complexes; CW-complexes and homotopy; Fundamental group; Covering spaces; Higher homotopy groups; Fiber bundles;
Topology of Stratified Spaces by Greg Friedman, et al.
 
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Ebooks May 28, 2022 2

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Author
Greg Friedman, et al.
Publisher
Cambridge University Press 2011
This book concerns the study of singular spaces using techniques from a variety of areas of geometry and topology and interactions among them. It contains more than a dozen expository papers on topics ranging from intersection homology,
Manifold Theory by Peter Petersen
 
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Ebooks May 27, 2022 2

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Author
Peter Petersen
Publisher
UCLA 2010
These notes are a supplement to a first year graduate course in manifold theory. These are the topics covered: Manifolds (Smooth Manifolds, Projective Space, Matrix Spaces); Basic Tensor Analysis; Basic Cohomology Theory; Characteristic Classes.
Introduction to Algebraic Topology and Algebraic Geometry by U. Bruzzo
 
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Ebooks May 27, 2022 2

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Author
U. Bruzzo
Publisher
2008
These notes are intended as introduction to (complex) algebraic geometry for students with an education in theoretical physics, to help them to master the basic algebraic geometric tools necessary for doing research in algebraically integrable systems and in the geometry of quantum field theory and string theory. ...
Higher Topos Theory by Jacob Lurie
 
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Ebooks May 27, 2022 2

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Author
Jacob Lurie
Publisher
Princeton University Press 2009
Jacob Lurie presents the foundations of higher category theory, using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.
Topics in topology: The signature theorem and some of its applications by Liviu I. Nicolaescu
 
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Ebooks May 24, 2022 2

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Author
Liviu I. Nicolaescu
Publisher
University of Notre Dame 2008
The author discusses several exciting topological developments that took place during the fifties decade which radically changed the way we think about many issues. Topics covered: Poincare duality, Thom isomorphism, Euler, Chern and Pontryagin classes, cobordisms groups, signature formula.
Prerequisites in Algebraic Topology by Bjorn Ian Dundas
 
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Ebooks May 24, 2022 3

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Author
Bjorn Ian Dundas
Publisher
NTNU 2005
This is not an introductory textbook in algebraic topology, these notes attempt to give a quick overview of the parts of algebraic topology, and in particular homotopy theory, which are needed in order to appreciate that side of motivic homotopy theory.
The Adams-Novikov Spectral Sequence and the Homotopy Groups of Spheres by Paul Goerss
 
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Ebooks May 24, 2022 2

Ebook Details

Author
Paul Goerss
Publisher
Northwestern University 2007
Contents: The Adams spectral sequence; Classical calculations; The Adams-Novikov Spectral Sequence; Complex oriented homology theories; The height filtration; The chromatic decomposition; Change of rings; The Morava stabilizer group.
Topology Lecture Notes by Thomas Ward
 
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Ebooks May 24, 2022 3

Ebook Details

Author
Thomas Ward
Publisher
UEA 2001
Contents: Topological and Metric Spaces, Homotopy Exquivalence, Fundamental Groups, Covering Spaces and Applications, Classification of Surfaces, Simplicial Complexes and Homology Groups, Homology Calculations, Simplicial Approximation, Homological Algebra and the Exact Sequence of a Pair.
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