Algebraic Topology: An Introduction

0 avg rating
( 0 ratings by Goodreads )
 
9781842657362: Algebraic Topology: An Introduction
View all copies of this ISBN edition:
 
 

ALGEBRAIC TOPOLOGY: An Introduction starts with the combinatorial definition of simplicial (co) homology and its main properties (including duality for homology manifolds). Then the geometrical facet of (co) homology via bordism theory is sketched and it is shown that the corresponding theory for pseudomanifolds coincides with the homology obtained from the singular chain complex. The classical applications of (co) homology theory are included. Degree and fixed-point theory are presented with their extensions to infinite dimensional spaces. The book also contains a geometric approach to the Hurewicz theorem relating homology and homotopy. The last chapter exploits the algebraic invariants introduced in the book to give in detail the homotopical classification of the three-dimensional lens spaces. Each chapter concludes with a generous list of exercises and problems; many of them contain hints for their solution. Some groups of problems introduce a topic not included in the basic core of the book.

"synopsis" may belong to another edition of this title.

About the Author:

Rafael Ayala.: Departamento de Geometria y Topologia Facultad de Matematicas, Universidad de Sevilla, Apartado, Sevilla Eladio Dominguez.: Departamento de Informatica e lngenieria de Sistemas, Facultad de Ciencias (Edificio de Matematicas) Universidad de Zaragoza, Zaragoza Antonio Quintero.: Departamento de Geometria y Topologia Facultad de Matematicas, Universidad de Sevilla, Apartado, Sevilla

"About this title" may belong to another edition of this title.

Buy New View Book
List Price: US$ 89.90
US$ 63.34

Convert currency

Shipping: FREE
From United Kingdom to U.S.A.

Destination, rates & speeds

Add to Basket

Top Search Results from the AbeBooks Marketplace

1.

Rafael Ayala, Eladio Dominguez, Antonio Quintero
Published by Alpha Science International Ltd, United Kingdom (2012)
ISBN 10: 1842657364 ISBN 13: 9781842657362
New Hardcover Quantity Available: 1
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Alpha Science International Ltd, United Kingdom, 2012. Hardback. Condition: New. Language: English . Brand New Book. Algebraic Topology: An Introduction starts with the combinatorial definition of simplicial (co) homology and its main properties (including duality for homology manifolds). Then the geometrical facet of (co) homology via bordism theory is sketched and it is shown that the corresponding theory for pseudomanifolds coincides with the homology obtained from the singular chain complex. The classical applications of (co) homology theory are included. Degree and fixed-point theory are presented with their extensions to infinite dimensional spaces. The book also contains a geometric approach to the Hurewicz theorem relating homology and homotopy. The last chapter exploits the algebraic invariants introduced in the book to give in detail the homotopical classification of the three-dimensional lens spaces. Each chapter concludes with a generous list of exercises and problems; many of them contain hints for their solution. Some groups of problems introduce a topic not included in the basic core of the book. Seller Inventory # AAJ9781842657362

More information about this seller | Contact this seller

Buy New
US$ 63.34
Convert currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, rates & speeds

2.

Rafael Ayala
Published by Alpha Science International Ltd (2012)
ISBN 10: 1842657364 ISBN 13: 9781842657362
New Quantity Available: 1
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Alpha Science International Ltd, 2012. HRD. Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Seller Inventory # CA-9781842657362

More information about this seller | Contact this seller

Buy New
US$ 58.90
Convert currency

Add to Basket

Shipping: US$ 11.79
From United Kingdom to U.S.A.
Destination, rates & speeds

3.

Rafael Ayala, Eladio Dominguez, Antonio Quintero
Published by Alpha Science International Ltd, United Kingdom (2012)
ISBN 10: 1842657364 ISBN 13: 9781842657362
New Hardcover Quantity Available: 1
Seller:
Book Depository International
(London, United Kingdom)
Rating
[?]

Book Description Alpha Science International Ltd, United Kingdom, 2012. Hardback. Condition: New. Language: English . Brand New Book. Algebraic Topology: An Introduction starts with the combinatorial definition of simplicial (co) homology and its main properties (including duality for homology manifolds). Then the geometrical facet of (co) homology via bordism theory is sketched and it is shown that the corresponding theory for pseudomanifolds coincides with the homology obtained from the singular chain complex. The classical applications of (co) homology theory are included. Degree and fixed-point theory are presented with their extensions to infinite dimensional spaces. The book also contains a geometric approach to the Hurewicz theorem relating homology and homotopy. The last chapter exploits the algebraic invariants introduced in the book to give in detail the homotopical classification of the three-dimensional lens spaces. Each chapter concludes with a generous list of exercises and problems; many of them contain hints for their solution. Some groups of problems introduce a topic not included in the basic core of the book. Seller Inventory # AAJ9781842657362

More information about this seller | Contact this seller

Buy New
US$ 70.87
Convert currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, rates & speeds

4.

Rafael Ayala; Eladio Dominguez; Antonio Quintero
Published by Alpha Science International Ltd.
ISBN 10: 1842657364 ISBN 13: 9781842657362
New Quantity Available: 3
Seller:
Majestic Books
(London, ,, United Kingdom)
Rating
[?]

Book Description Alpha Science International Ltd. Condition: New. pp. 369. Seller Inventory # 96321356

More information about this seller | Contact this seller

Buy New
US$ 64.27
Convert currency

Add to Basket

Shipping: US$ 7.21
From United Kingdom to U.S.A.
Destination, rates & speeds

5.

Rafael Ayala
Published by Alpha Science International Ltd
ISBN 10: 1842657364 ISBN 13: 9781842657362
New Hardcover Quantity Available: 1
Seller:
THE SAINT BOOKSTORE
(Southport, United Kingdom)
Rating
[?]

Book Description Alpha Science International Ltd. Hardback. Condition: New. New copy - Usually dispatched within 2 working days. Seller Inventory # B9781842657362

More information about this seller | Contact this seller

Buy New
US$ 63.96
Convert currency

Add to Basket

Shipping: US$ 9.09
From United Kingdom to U.S.A.
Destination, rates & speeds

6.

Rafael Ayala, Eladio Dominguez, Antonio Quintero
Published by Alpha Science International Limited, United Kingdom (2012)
ISBN 10: 1842657364 ISBN 13: 9781842657362
New Hardcover Quantity Available: > 20
Seller:
Books in my Basket
(New Delhi, India)
Rating
[?]

Book Description Alpha Science International Limited, United Kingdom, 2012. Hardcover. Condition: New New. ALGEBRAIC TOPOLOGY: An Introduction starts with the combinatorial definition of simplicial (co) homology and its main properties (including duality for homology manifolds). Then the geometrical facet of (co) homology via bordism theory is sketched and it is shown that the corresponding theory for pseudomanifolds coincides with the homology obtained from the singular chain complex. The classical applications of (co) homology theory are included. Degree and fixed-point theory are presented with their extensions to infinite dimensional spaces. The book also contains a geometric approach to the Hurewicz theorem relating homology and homotopy. The last chapter exploits the algebraic invariants introduced in the book to give in detail the homotopical classification of the three-dimensional lens spaces. Each chapter concludes with a generous list of exercises and problems; many of them contain hints for their solution. Some groups of problems introduce a topic not included in the basic core of the book. Table of Contents: Preface / Introduction / Preliminaries of Topology / Simplicial Complexes / Extending the definition of a Simplicial Complex / Notions of Homological Algebra / Simplicial Homology / Pseudomanifolds and n-polyhedra / Duality in manifolds / Singular Bordism / Pseudobordism and Simplicial Homology / Singular (Co)homology / The Fixed-Point Theorems of Brouwer and Lefschetz-Hopf / The Jordan-Brouwer Separation Theorem / A Glimpse at the Theory of Degree / Homology and Homotopy: The Hurewicz Homomorphism / The homotopy classification of lens spaces / Appendices / Bibliography / Index. 386pp. Seller Inventory # 205647

More information about this seller | Contact this seller

Buy New
US$ 81.00
Convert currency

Add to Basket

Shipping: US$ 6.12
From India to U.S.A.
Destination, rates & speeds

7.

AYALA
Published by Alpha Science (2012)
ISBN 10: 1842657364 ISBN 13: 9781842657362
New Hardcover Quantity Available: 1
Seller:
Revaluation Books
(Exeter, United Kingdom)
Rating
[?]

Book Description Alpha Science, 2012. Hardcover. Condition: Brand New. 369 pages. 9.75x7.50x1.00 inches. In Stock. Seller Inventory # __1842657364

More information about this seller | Contact this seller

Buy New
US$ 80.24
Convert currency

Add to Basket

Shipping: US$ 9.83
From United Kingdom to U.S.A.
Destination, rates & speeds

8.

Rafael Ayala, Eladio Dominguez, Antonio
Published by Alpha Science Intl Ltd (2012)
ISBN 10: 1842657364 ISBN 13: 9781842657362
New Hardcover Quantity Available: 2
Seller:
Murray Media
(NORTH MIAMI BEACH, FL, U.S.A.)
Rating
[?]

Book Description Alpha Science Intl Ltd, 2012. Hardcover. Condition: New. Never used!. Seller Inventory # P111842657364

More information about this seller | Contact this seller

Buy New
US$ 99.77
Convert currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, rates & speeds

9.

Rafael Ayala; Eladio Dominguez; Antonio Quintero
Published by Alpha Science Intl Ltd (2012)
ISBN 10: 1842657364 ISBN 13: 9781842657362
New Hardcover Quantity Available: 1
Seller:
Irish Booksellers
(Portland, ME, U.S.A.)
Rating
[?]

Book Description Alpha Science Intl Ltd, 2012. Condition: New. book. Seller Inventory # M1842657364

More information about this seller | Contact this seller

Buy New
US$ 130.36
Convert currency

Add to Basket

Shipping: US$ 3.27
Within U.S.A.
Destination, rates & speeds

10.

Rafael Ayala
Published by Alpha Science Intl Ltd (2012)
ISBN 10: 1842657364 ISBN 13: 9781842657362
New Hardcover Quantity Available: 1
Seller:
Books Express
(Portsmouth, NH, U.S.A.)
Rating
[?]

Book Description Alpha Science Intl Ltd, 2012. Hardcover. Condition: New. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. Buy with confidence, excellent customer service!. Seller Inventory # 1842657364n

More information about this seller | Contact this seller

Buy New
US$ 170.49
Convert currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, rates & speeds