HomeGroupsTalkZeitgeist
Hide this

Results from Google Books

Click on a thumbnail to go to Google Books.

Lectures on Coarse Geometry (University…
Loading...

Lectures on Coarse Geometry (University Lecture Series)

by John Roe

MembersReviewsPopularityAverage ratingConversations
3None2,001,085NoneNone
Recently added byuncountable, jvstinian, JohnRo27183

No tags.

None.

None
Loading...

Sign up for LibraryThing to find out whether you'll like this book.

No current Talk conversations about this book.

No reviews
no reviews | add a review
You must log in to edit Common Knowledge data.
For more help see the Common Knowledge help page.
Series (with order)
Canonical title
Original title
Alternative titles
Original publication date
People/Characters
Important places
Important events
Related movies
Awards and honors
Epigraph
Dedication
First words
Quotations
Last words
Disambiguation notice
Publisher's editors
Blurbers
Publisher series
Original language

References to this work on external resources.

Wikipedia in English (3)

Book description
Haiku summary

Amazon.com Product Description (ISBN 0821833324, Paperback)

Coarse geometry is the study of spaces (particularly metric spaces) from a "large scale" point of view, so that two spaces that look the same from a great distance are actually equivalent. This point of view is effective because it is often true that the relevant geometric properties of metric spaces are determined by their coarse geometry. Two examples of important uses of coarse geometry are Gromov's beautiful notion of a hyperbolic group and Mostow's proof of his famous rigidity theorem.

The first few chapters of the book provide a general perspective on coarse structures. Even when only metric coarse structures are in view, the abstract framework brings the same simplification as does the passage from epsilons and deltas to open sets when speaking of continuity. The middle section of the book reviews notions of negative curvature and rigidity. Modern interest in large scale geometry derives in large part from Mostow's rigidity theorem and from Gromov's subsequent "large scale" rendition of the crucial properties of negatively curved spaces.

The final chapters discuss recent results on asymptotic dimension and uniform embeddings into Hilbert space.

John Roe is known for his work on index theory, coarse geometry, and topology. His exposition is clear and direct, bringing insight to this modern field of mathematics. Students and researchers who wish to learn about contemporary methods of understanding the geometry and topology of manifolds will be well served by reading this book.

(retrieved from Amazon Thu, 12 Mar 2015 18:02:58 -0400)

No library descriptions found.

Quick Links

Swap Ebooks Audio
1 wanted

Popular covers

Rating

Average: No ratings.

Is this you?

Become a LibraryThing Author.

 

About | Contact | Privacy/Terms | Help/FAQs | Blog | Store | APIs | TinyCat | Legacy Libraries | Early Reviewers | Common Knowledge | 120,633,434 books! | Top bar: Always visible