Author: T. A. Chapman
Publisher:
ISBN: 9783662179611
Category :
Languages : en
Pages : 104
Book Description
Controlled Simple Homotopy Theory and Applications
Author: T. A. Chapman
Publisher:
ISBN: 9783662179611
Category :
Languages : en
Pages : 104
Book Description
Publisher:
ISBN: 9783662179611
Category :
Languages : en
Pages : 104
Book Description
Controlled Simple Homotopy Theory and Applications
Author: Thomas A. Chapman
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 696
Book Description
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 696
Book Description
Controlled Simple Homotopy Theory and Applications
Author: T. A. Chapman
Publisher: Springer
ISBN: 3540409734
Category : Mathematics
Languages : en
Pages : 97
Book Description
Publisher: Springer
ISBN: 3540409734
Category : Mathematics
Languages : en
Pages : 97
Book Description
A Course in Simple-Homotopy Theory
Author: M.M. Cohen
Publisher: Springer Science & Business Media
ISBN: 1468493728
Category : Mathematics
Languages : en
Pages : 124
Book Description
This book grew out of courses which I taught at Cornell University and the University of Warwick during 1969 and 1970. I wrote it because of a strong belief that there should be readily available a semi-historical and geo metrically motivated exposition of J. H. C. Whitehead's beautiful theory of simple-homotopy types; that the best way to understand this theory is to know how and why it was built. This belief is buttressed by the fact that the major uses of, and advances in, the theory in recent times-for example, the s-cobordism theorem (discussed in §25), the use of the theory in surgery, its extension to non-compact complexes (discussed at the end of §6) and the proof of topological invariance (given in the Appendix)-have come from just such an understanding. A second reason for writing the book is pedagogical. This is an excellent subject for a topology student to "grow up" on. The interplay between geometry and algebra in topology, each enriching the other, is beautifully illustrated in simple-homotopy theory. The subject is accessible (as in the courses mentioned at the outset) to students who have had a good one semester course in algebraic topology. I have tried to write proofs which meet the needs of such students. (When a proof was omitted and left as an exercise, it was done with the welfare of the student in mind. He should do such exercises zealously.
Publisher: Springer Science & Business Media
ISBN: 1468493728
Category : Mathematics
Languages : en
Pages : 124
Book Description
This book grew out of courses which I taught at Cornell University and the University of Warwick during 1969 and 1970. I wrote it because of a strong belief that there should be readily available a semi-historical and geo metrically motivated exposition of J. H. C. Whitehead's beautiful theory of simple-homotopy types; that the best way to understand this theory is to know how and why it was built. This belief is buttressed by the fact that the major uses of, and advances in, the theory in recent times-for example, the s-cobordism theorem (discussed in §25), the use of the theory in surgery, its extension to non-compact complexes (discussed at the end of §6) and the proof of topological invariance (given in the Appendix)-have come from just such an understanding. A second reason for writing the book is pedagogical. This is an excellent subject for a topology student to "grow up" on. The interplay between geometry and algebra in topology, each enriching the other, is beautifully illustrated in simple-homotopy theory. The subject is accessible (as in the courses mentioned at the outset) to students who have had a good one semester course in algebraic topology. I have tried to write proofs which meet the needs of such students. (When a proof was omitted and left as an exercise, it was done with the welfare of the student in mind. He should do such exercises zealously.
The Simple Homotopy Theory of Controlled Spaces, an Announcement
Elements of Monoidally Controlled Algebraic Topology and Simple Homotopy Theory
Author: René DePont Christensen
Publisher:
ISBN:
Category :
Languages : en
Pages : 66
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 66
Book Description
Abstract Homotopy and Simple Homotopy Theory
Author: Klaus Heiner Kamps
Publisher: World Scientific
ISBN: 9789810216023
Category : Mathematics
Languages : en
Pages : 474
Book Description
"This book provides a thorough and well-written guide to abstract homotopy theory. It could well serve as a graduate text in this topic, or could be studied independently by someone with a background in basic algebra, topology, and category theory."
Publisher: World Scientific
ISBN: 9789810216023
Category : Mathematics
Languages : en
Pages : 474
Book Description
"This book provides a thorough and well-written guide to abstract homotopy theory. It could well serve as a graduate text in this topic, or could be studied independently by someone with a background in basic algebra, topology, and category theory."
Geometry and Topology
Author: Mccrory
Publisher: CRC Press
ISBN: 1000110842
Category : Mathematics
Languages : en
Pages : 366
Book Description
This book discusses topics ranging from traditional areas of topology, such as knot theory and the topology of manifolds, to areas such as differential and algebraic geometry. It also discusses other topics such as three-manifolds, group actions, and algebraic varieties.
Publisher: CRC Press
ISBN: 1000110842
Category : Mathematics
Languages : en
Pages : 366
Book Description
This book discusses topics ranging from traditional areas of topology, such as knot theory and the topology of manifolds, to areas such as differential and algebraic geometry. It also discusses other topics such as three-manifolds, group actions, and algebraic varieties.
Handbook of K-Theory
Author: Eric Friedlander
Publisher: Springer Science & Business Media
ISBN: 354023019X
Category : Mathematics
Languages : en
Pages : 1148
Book Description
This handbook offers a compilation of techniques and results in K-theory. Each chapter is dedicated to a specific topic and is written by a leading expert. Many chapters present historical background; some present previously unpublished results, whereas some present the first expository account of a topic; many discuss future directions as well as open problems. It offers an exposition of our current state of knowledge as well as an implicit blueprint for future research.
Publisher: Springer Science & Business Media
ISBN: 354023019X
Category : Mathematics
Languages : en
Pages : 1148
Book Description
This handbook offers a compilation of techniques and results in K-theory. Each chapter is dedicated to a specific topic and is written by a leading expert. Many chapters present historical background; some present previously unpublished results, whereas some present the first expository account of a topic; many discuss future directions as well as open problems. It offers an exposition of our current state of knowledge as well as an implicit blueprint for future research.
Novikov Conjectures, Index Theorems, and Rigidity: Volume 1
Author: Steven C. Ferry
Publisher: Cambridge University Press
ISBN: 0521497965
Category : Mathematics
Languages : en
Pages : 386
Book Description
These volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) on the subject of 'Novikov Conjectures, Index Theorems and Rigidity'.
Publisher: Cambridge University Press
ISBN: 0521497965
Category : Mathematics
Languages : en
Pages : 386
Book Description
These volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) on the subject of 'Novikov Conjectures, Index Theorems and Rigidity'.