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Monday, July 20, 2020 | History

11 edition of A basic course in algebraic topology found in the catalog.

A basic course in algebraic topology

by William S. Massey

  • 212 Want to read
  • 8 Currently reading

Published by Springer-Verlag in New York .
Written in English

    Subjects:
  • Algebraic topology.

  • Edition Notes

    Includes bibliographical references and index.

    StatementWilliam S. Massey.
    SeriesGraduate texts in mathematics ;, 127
    Classifications
    LC ClassificationsQA612 .M374 1991
    The Physical Object
    Paginationxvi, 428 p. :
    Number of Pages428
    ID Numbers
    Open LibraryOL1885078M
    ISBN 10038797430X, 354097430X
    LC Control Number90046073

    String topology is the study of algebraic and differential topological properties of spaces of paths and loops in manifolds. Topics covered includes: Intersection theory in loop spaces, The cacti operad, String topology as field theory, A Morse theoretic viewpoint, Brane topology. Author(s): Ralph L. Cohen and Alexander A. Voronov. This textbook is intended for a course in algebraic topology at the beginning graduate level. The main topics covered are: the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory.

    A Concise Course in Algebraic Topology book. Read 3 reviews from the world's largest community for readers. Algebraic topology is a basic part of modern /5. A basic course in algebraic topology. W.S. Massey ISBN: X, | pages | 12 Mb Download A basic c.

    This is about exercise V in Massey's A Basic Course in Algebraic n V is about the fundamental group of a covering space. Massey assumes that all spaces involved are both arc-connected and locally arc-connected. W.S. Massey A Basic Course in Algebraic Topology "In the minds of many people algebraic topology is a subject which is a ~esoteric, specialized, and disjoint from the overall sweep of mathematical thought.a (TM) This straightforward introduction to the subject, by a recognized authority, aims to dispel that point of view by emphasizing: 1. the geometric motivation for the .


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A basic course in algebraic topology by William S. Massey Download PDF EPUB FB2

This classic textbook in the 'Graduate Texts A basic course in algebraic topology book Mathematics' series is intended for a course in algebraic topology at the beginning graduate level.

The main topics covered include the classification of compact 2-manifolds, the fundamental group, covering spaces, and singular homology theory. This textbook is intended for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory.

W.S. Massey. A Basic Course in Algebraic Topology "In the minds of many people algebraic topology is a subject which is a ~esoteric, specialized, and disjoint from the overall sweep of mathematical thought.a (TM) This straightforward introduction to the subject, by a recognized authority, aims to dispel that point of view by emphasizing: 1.

the geometric motivation for the 5/5(2). Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology.

The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes, and simplicial by: Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology.

The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes. needs of algebraic topologists would include spectral sequences and an array of calculations with them.

In the end, the overriding pedagogical goal has been the introduction of basic ideas and methods of thought. Our understanding of the foundations of algebraic topology has undergone sub-tle but serious changes since I began teaching this Size: 1MB.

The main purpose of this book is to give a systematic treatment of singular homology and cohomology theory. It is in some sense a sequel to the author's previous book in this Springer-Verlag series entitled Algebraic Topology: An Introduction.

This earlier book is definitely not a logical prerequisite for the present volume. However, it would certainly be advantageous for a 5/5(3).

This textbook is intended for a course in algebraic topology at the beginning graduate level. The main topics covered are: the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory/5(20).

A downloadable textbook in algebraic topology. What's in the Book. To get an idea you can look at the Table of Contents and the Preface. Printed Version: The book was published by Cambridge University Press in in both paperback and hardback editions, but only the paperback version is currently available (ISBN ).

I have tried very hard to keep. Book Description. Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology.

The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes, and simplicial. $\begingroup$ Hatcher's book is very well-written with a good combination of motivation, intuitive explanations, and rigorous details.

It would be worth a decent price, so it is very generous of Dr. Hatcher to provide the book for free download. But if you want an alternative, Greenberg and Harper's Algebraic Topology covers the theory in a straightforward and comprehensive manner.

W.S. Massey A Basic Course in Algebraic Topology "In the minds of many people algebraic topology is a subject which is a ~esoteric, specialized. : A Basic Course in Algebraic Topology (v.

) () by Massey, William S. and a great selection of similar New, Used /5(19). Basic Concepts of Algebraic Topology. Authors: Croom, F.H. uses the proofs of the discoverers of the important theorems when this is consistent with the elementary level of the course.

This method of presentation is intended to reduce the abstract nature of algebraic topology to a level that is palatable for the beginning student and to. Homology and cohomology were invented in (what's now called) the de Rham context, where cohomology classes are (classes of) differential forms and homology classes are (classes of) domains you can integrate them over.

I think it's basically impos. algebraic topology: homology and homotopy. Homology, invented by Henri Poincaré, is without doubt one of the most inge-nious and influential inventions in mathematics. The basic idea of homology is that we start with a geometric object (a space) which is given by combinatorial data (a simplicial complex).File Size: 2MB.

A Basic Course in Algebraic Topology [Graduate Texts in Mathematics] by Massey, William S. and a great selection of related books, art and collectibles available now at Algebraic Topology by NPTEL.

This is a basic note in algebraic topology, it introduce the notion of fundamental groups, covering spaces, methods for computing fundamental groups using Seifert Van Kampen theorem and some applications such as the Brouwer’s fixed point theorem, Borsuk Ulam theorem, fundamental theorem of algebra.

Algebraic Topology. This book, published inis a beginning graduate-level textbook on algebraic topology from a fairly classical point of view.

To find out more or to download it in electronic form, follow this link to the download page. This book is intended to serve as a textbook for a course in algebraic topology at the beginning graduate level.

The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory.

Summary. Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology. The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes, and simplicial .The prerequisites for a course based on this book include a working knowledge of basic point-set topology, the definition of CW-complexes, fun-damental group/covering space theory, and the constructionofsingularho-mology including the Eilenberg-Steenrod axioms.

In Chapter8,familiarity with the basic results of differential topology is Size: 3MB.Prerequisites are standard point set topology (as recalled in the first chapter), elementary algebraic notions (modules, tensor product), and some terminology from category theory.

The aim of the book is to introduce advanced undergraduate and graduate (masters) students to basic tools, concepts and results of algebraic topology.