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Algebraic Topology Hatcher

By: Allen Hatcher

Description: This book explains the following topics: Some Underlying Geometric Notions, The Fundamental Group, Homology, Cohomology and Homotopy Theory.

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More Concise Algebraic Topology Localization, Completion, and Mode...

By: J. P. May; K. Ponto

Description: This book explains the following topics: the fundamental group, covering spaces, ordinary homology and cohomology in its singular, cellular, axiomatic, and represented versions, higher homotopy groups and the Hurewicz theorem, basic homotopy theory including fibrations and cofibrations, Poincare duality for manifolds and manifolds with boundary.

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Algebraic K Theory ; Topology

By: Olivier Isely

Description: Algebraic K-theory is a branch of algebra dealing with linear algebra over a general ring A instead of over a eld.

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Algebraic Topology Lecture Notes 1

By: David Gauld

Description: This note covers the following topics: The Fundamental Group, Covering Projections, Running Around in Circles, The Homology Axioms, Immediate Consequences of the Homology Axioms, Reduced Homology Groups, Degrees of Spherical Maps again, Constructing Singular Homology Theory.

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Algebraic Topology Class Notes 1

By: Sjerve Denis; Benjamin Young

Description: This book covers the following topics: The Mayer-Vietoris Sequence in Homology, CW Complexes, Cellular Homology,Cohomology ring, Homology with Coefficient, Lefschetz Fixed Point theorem, Cohomology, Axioms for Unreduced Cohomology, Eilenberg-Steenrod axioms, Construction of a Cohomology theory, Proof of the UCT in Cohomology, Properties of Ext(A;G).

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A Concise Course in Algebraic Topology, J. P. May

By: J. P. May

Description: This book explains the following topics: The fundamental group and some of its applications, Categorical language and the van Kampen theorem, Covering spaces, Graphs, Compactly generated spaces, Cofibrations, Fibrations, Based cofiber and fiber sequences, Higher homotopy groups, CW complexes, The homotopy excision and suspension theorems, Axiomatic and cellular homology theorems, Hurewicz and uniqueness theorems, Singular homology theory, An introduction to K theory.

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An Introduction to K-theory ; Topology

By: Eric M. Friedlander

Description: This note provides an overview of various aspects of algebraic K-theory, with the intention of making these lectures accessible to participants with little or no prior knowledge of the subject.

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Metric and Topological Spaces

By: T. W. Korner

Description: First part of this course note presents a rapid overview of metric spaces to set the scene for the main topic of topological spaces.Further it covers metric spaces, Continuity and open sets for metric spaces, Closed sets for metric spaces, Topological spaces, Interior and closure, More on topological structures, Hausdorff spaces and Compactness.

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Geometric Topology Localization, Periodicity, and Galois Symmetry I

By: Dennis Sullivan

Description: The seminal `MIT notes' of Dennis Sullivan were issued in June 970 and were widely circulated at the time. The notes had a ma- or in°uence on the development of both algebraic and geometric topology, pioneering

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Algebraic Topology Hatcher

By: Allen Hatcher

Description: This book explains the following topics: Some Underlying Geometric Notions, The Fundamental Group, Homology, Cohomology and Homotopy Theory.

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A Concise Course in Algebraic Topology

By: J. P. May

Description: This book explains the following topics: The fundamental group and some of its applications, Categorical language and the van Kampen theorem, Covering spaces, Graphs, Compactly generated spaces, Cofibrations, Fibrations, Based cofiber and fiber sequences, Higher homotopy groups, CW complexes, The homotopy excision and suspension theorems, Axiomatic and cellular homology theorems, Hurewicz and uniqueness theorems, Singular homology theory, An introduction to K theory.

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Differential Topology Lecture Notes 2

By: Wolf Michael M.

Description: We will follow a direct approach to differential topology and to many of its applications without requiring and exploiting the abstract machinery of algebraic topology. The course will cover immersion, submersions and embeddings of manifolds in Euclidean space (including the basic results by Sard and Whitney), a discussion of the Euler number and winding numbers, fixed point theorems, the Borsuk-Ulam theorem and respective applications. At the end of the cou...

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Elliptic Curves and Algebraic Topology 2

By: Matthew Ando

Description: This note covers the following topics: Geometric reformulation, The Adams-Novikov spectral sequence, Elliptic cohomology, What is TMF, Geometric and Physical Aspect.

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High School Mathematics, First Course

By: University of Illinois (Urbana-Champaign Campus). Committee on School Mathematics

Description: unit 1. Directed numbers.--unit 2. Numbers, numerals, pronumerals.--unit 3. Equations.--unit 4. Graphs and ordered pairs

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Numerical Properties of the Full Transformation Semigroup on a Fin...

By: Sweeney, Orval Lester

Description: Thesis (M.S.)--Naval Postgraduate School, 1969

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Acta Mathematica

Description: English, French, German

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Algebraic Geometry ; Main Volume

By: Andreas Gathmann

Description: This book explains the following topics: What is algebraic geometry, Functions, morphisms, and varieties, Projective varieties, Dimension, Schemes, Morphisms and locally ringed spaces, Schemes and prevarieties, Projective schemes, First applications of scheme theory, Hilbert polynomials.

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A Constructive Formalization of the Fundamental Theorem in Calculu...

By: Luis Cruz-filipe

Description: This note contains Basic Coq Notation, The Real Numbers, Sequences and Series, Continuous Functions, theorems on Differentiation , theorems on Integration, Transcendental Functions

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Introduction to Real Analysis ; Mathematical Analysis

By: William F. Trench

Description: Using a clear and informal approach, this book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible. This book is intended for those who want to gain an understanding of mathematical analysis and challenging mathematical concepts

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Three Introductory Lectures on Fourier Analysis and Wavelets II

By: Willard Miller

Description: This note covers the following topics: Vector Spaces with Inner Product, Fourier Series, Fourier Transform, Windowed Fourier Transform, Continuous wavelets, Discrete wavelets and the multiresolution structure, Continuous scaling functions with compact support.

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