Last edited by Zulkiktilar

Monday, August 10, 2020 | History

5 edition of **Fibrewise topology** found in the catalog.

- 152 Want to read
- 29 Currently reading

Published
**1989**
by Cambridge University Press in Cambridge, New York
.

Written in English

- Fiberings (Mathematics),
- Topology.

**Edition Notes**

Statement | I.M. James. |

Series | Cambridge tracts in mathematics ;, 91 |

Classifications | |
---|---|

LC Classifications | QA612.6 .J36 1989 |

The Physical Object | |

Pagination | x, 198 p. : |

Number of Pages | 198 |

ID Numbers | |

Open Library | OL2034304M |

ISBN 10 | 0521360900 |

LC Control Number | 88010296 |

You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. There may not be "the" standard. Getting that can be like herding cats. But the work of Peter Booth on fibrewise topology was the foundation of work of Ioan James in this area, see his book "Fibrewise topology" CUP, which might be of help. $\endgroup$ – Ronnie Brown Jan 24 '12 at

Fibrewise Topology, Paperback by James, I. M., Brand New, Free shipping in th AU $ AU $ Free shipping. A unique feature of the book is the inclusion of many optional topics which are not usually part of a first course due to time constraints, and for which elementary expositions are sometimes hard to find. 5/5(1). Collect Rare and Out-of-Print Books. As one of the premier rare book sites on the Internet, Alibris has thousands of rare books, first editions, and signed books available. Fibrewise Topology. by I. M. James. Starting at $ Customer Reviews. Write a Review. Subscribe now for coupons, newsletters, and more! Enter Your Email for Coupon.

book, as well as applications to subjects as varied as, for example, 3-manifold topology and the complexity of algorithms. Morse theory has already been at the center of a good number of high quality surveys and treatises, so its appearance here will be only incidental. This book covers the homotopical side of category in a. Revised, updated, and expanded throughout, this edition of Fundamentals of Pattern Recognition addresses the field of PR from a basic mathematical view-point - treating algebraic, topological, and categorical approaches of PR using concepts from homotopy, shape, and fibre spaces theories as well as computational topology.;Maintaining the features of the first edition, this resource: .

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The aim of this book is to promote a fibrewise perspective, particularly in topology, which is central to modern mathematics. Already this view is standard in the theory of fibre bundles and therefore in such subjects as global analysis.

It has a role to play also in general and equivariant topology. The aim of this book is to promote a fibrewise perspective, particularly in topology. Already this view is standard in the theory of fibre bundles and therefore in such subjects as global analysis.

It has a role to play also in general and equivariant topology. The aim of this book is to promote a fibrewise perspective, particularly in topology, which is central to modern mathematics. Already this view is standard in the theory of fibre bundles and therefore in such subjects as global analysis.

It has a role to play also in general and equivariant Price: $ This book played a very important role in the development of the theory about ﬁbrewise topology spaces, so the following research of this theory was all on the basis of the view about this book.

InJames and Crabb [13] wrote the “Fibrewise Homotopy Theory”, which further enriched and developed the ﬁbrewise topology space theory. Fibrewise Topology. Author: James, I.M. Title: Fibrewise Topology Publication: Cambridge, New York, Port Chester, et al.

Cambridge University Press, Description: Hard Cover. Very Good / No Jacket. x cm. Dark blue textured paper wrapped boards with gilt titling to spine.

Slight sunning to spine. Light bumps to head and Seller Rating: % positive. Topology occupies a central position in the mathematics of today. One of the most useful ideas to be introduced in the past sixty years is the concept of fibre bundle, which provides an appropriate framework for studying differential geometry and much else.

Fibre bundles are examples of the Fibrewise topology book of structures Fibrewise topology book in fibrewise topology. The aim of this book is to promote a fibrewise perspective, particularly in topology, which is central to modern mathematics.

Already this view is standard in the theory of fibre bundles and therefore in such subjects as global analysis. It has a role to play also in general and equivariant topology. Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook.

Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research.5/5(2). He is the author of Topological Topics (Cambridge, ), Fibrewise Topology (Cambridge, ), Introduction to Uniform Spaces (Cambridge, ), Topological and Uniform Spaces (Springer-Verlag New York, ), and co-author with Michael C.

Crabb of Fibrewise Homotopy Theory (Springer-Verlag New York, ). I.M. James, in Handbook of Algebraic Topology, 5 Fibrewise cofibrations. Let u: A → X be a fibrewise pointed map, where A and X are fibrewise pointed spaces over B.

[53] which were extensively developed by Kamps in a series of articles, (see the bibliography of the forthcoming book. Fibre bundles are examples of the kind of structures studied in fibrewise topology.

Just as homotopy theory arises from topology, so fibrewise homotopy the ory arises from fibrewise topology. I.M. James, in Handbook of Algebraic Topology, 2 Fibrewise homotopy. Fibrewise homotopy is an equivalence relation between fibrewise maps.

Specifically consider fibrewise maps θ, ϕ: X → Y, where X and Y are fibrewise spaces over B. A fibrewise homotopy of θ. Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics.

It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook.

Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of. In fibrewise homotopy theory nothing comparable has so far been proposed, as far as I am aware, and the purpose of this note is to try and fill the gap.

A more thorough account will be given elsewhere but here we try to convey the basic idea, which is quite simple, rather than strive for maximum generality.

Purchase Handbook of Algebraic Topology - 1st Edition. Print Book & E-Book. ISBN Fibrewise Topology (Cambridge Tracts in Mathematics, Book 91) Orbifolds and Stringy Topology (Cambridge Tracts in Mathematics) by Alejandro Adem; Orbifolds and Stringy Topology (Cambridge Tracts in Mathematics) [PDF] Fibrewise Topology (Cambridge Tracts in Mathematics).

Algebraic topology algebraic topology – application of higher algebra and higher category theory to the study of (stable) homotopy theory topological space, homotopy type. Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics.

Although its origins may be traced back several hundred years, it was Poincaré who "gave topology wings" in a classic series of articles published around the turn of the century.

While the earlier history, sometimes called the prehistory, is also considered, this volume is. This allows the construction of a simply connected covering space in the setting of fibrewise topology, assuming a local analogue of the definition of an ex-space.

When applied to maps which are up-to-homotopy locally trivial fibrations, the result is a categorified version of a covering space. studied in fibrewise topology.

Just as homotopy theory arises from topology, so fibrewise homotopy the ory arises from fibrewise topology. In this monograph we provide an overview of fibrewise homotopy theory as it stands at present. It is hoped that this may stimulate further research.

The literature on the subject is already quite. If such a space X is actually a co-H-space, then the fibrewise p-localization of r X (or the ‘almost’ p-localization of X) is a fibrewise co-H-space (or an ‘almost’ co-H-space, respectively) for every prime p.

Point-free topology refers to various formulations of topology that are not based on the notion of topological space as a set A decisive advantage of point-free topology is that it gives a fibrewise topology of bundles, understood broadly as maps This is, in its own words, to be read as the trailer for Johnstone’s book Stone Spaces.The alternative fibrewise LS category viewpoint was introduced by N.

Iwase and M. Sakai in [15], and further applied and developed in [8], [9] and [10]. The fibrewise formulation avoids the use of.