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# ðŸ“™ Algebraic topology, an introduction by William S. Massey â€” free download

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Massey's well-known and popular text is designed to introduce advanced undergraduate or beginning graduate students to algebraic topology as painlessly as possible. The principal topics treated are 2-dimensional manifolds, the fundamental group, and covering spaces, plus the group theory needed in these topics. The only prerequisites are some group theory, such as that normally contained in an undergraduate algebra course on the junior/senior level, and a one-semester undergraduate course in general topology. From the reviews: "This book is highly recommended: as a textbook for a first course in algebraic topology and as a book for selfstudy. The spirit of algebraic topology and of good mathematics is present at every page of this almost perfect book." Bulletin de la SociÃ©tÃ© MathÃ©matique de Belgique#1

## About book:

## About file:

Security code:

- Series:
**Graduate texts in mathematics 56** - Author:
**William S. Massey** - Year:
**1977** - Publisher:
**Springer-Verlag** - Language:
**English** - ISBN:
**9780387902715,0387902716**

- DPI:
**600** - File size:
**4 618 330** - Format:
**djvu**

Security code:

This text, developed from a first-year graduate course in algebraic topology, is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas- de Rham theory, the Ce...

This book is an introduction to algebraic topology that is written by a master expositor. Many books on algebraic topology are written much too formally, and this makes the subject difficult to learn for students or maybe physicists who need insight, and ...

The papers in this collection, all fully refereed, original papers, reflect many aspects of recent significant advances in homotopy theory and group cohomology. From the Contents: A. Adem: On the geometry and cohomology of finite si...

Operads are mathematical devices which describe algebraic structures of many varieties and in various categories. Operads are particularly important in categories with a good notion of "homotopy" where they play a key role in organizing hierarchies ...

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 s...

This book presents a geometric introduction to the homology of topological spaces and the cohomology of smooth manifolds. The author introduces a new class of stratified spaces, so-called stratifolds. He derives basic concepts from differential topology s...

This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach of the book is pragmatic: while most proofs are given, those that are particul...

Operads are mathematical devices which describe algebraic structures of many varieties and in various categories. Operads are particularly important in categories with a good notion of "homotopy" where they play a key role in organizing hierarchies of hig...

The purpose of this book is to introduce algebraic topology using the novel approach of homotopy theory, an approach with clear applications in algebraic geometry as understood by Lawson and Voevodsky. This method allows the authors to cover the material ...

In recent years, the old idea that gauge theories and string theories are equivalent has been implemented and developed in various ways, and there are by now various models where the string theory / gauge theory correspondence is at work. One of the most ...

"A magnificent history of doctrine."â€”New York Review of Books "In this volume Jaroslav Pelikan continues the splendid work he has done thus far in his projected five-volume history of the development of Christian doctrine, defined as 'what the Church beli...

The Reading Group follows the trials and tribulations of a group of women who meet regularly to read and discuss books.Over the course of a year, each of these women become intertwined, both in the books they read and within each other's lives. Inspired b...

The Implications of Immanence develops a philosophy of life in opposition to the notion of bio-power,which reduces the human to the question of power over what Giorgio Agamben terms bare life,mere biological existence. Breaking with all biologism or vital...

Das kleine Dorf Viscos, wo das Leben in der Zeit stillzustehen scheint, ist der Schauplatz einer Schlacht zwischen dem Guten und dem B?sen. Chantal Prym â€“ ein M?dchen, hin- und hergerissen zwischen dem Engel und dem Teufel, die sie in sich tr?gt â€“ und and...

The historical approach to the interpretation of physical, chemical and biological phenomena has been to consider relationships with causative factors that can be reduced to linearity allowing simple and direct interpretation. However, it is increasingly ...

Despite its obvious advantages, our ability to be self-reflective comes at a high price. Few people realize how profoundly their lives are affected by self-reflection or how frequently inner chatter interferes with their success, pollutes their relations...