0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Geometry

Buy Now

The Novikov Conjecture - Geometry and Algebra (Paperback, 2005 ed.) Loot Price: R1,772
Discovery Miles 17 720
The Novikov Conjecture - Geometry and Algebra (Paperback, 2005 ed.): Matthias Kreck, Wolfgang Luck

The Novikov Conjecture - Geometry and Algebra (Paperback, 2005 ed.)

Matthias Kreck, Wolfgang Luck

Series: Oberwolfach Seminars, 33

 (sign in to rate)
Loot Price R1,772 Discovery Miles 17 720 | Repayment Terms: R166 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

Manifolds are the central geometric objects in modern mathematics. An attempt to understand the nature of manifolds leads to many interesting questions. One of the most obvious questions is the following. Let M and N be manifolds: how can we decide whether M and N are ho- topy equivalent or homeomorphic or di?eomorphic (if the manifolds are smooth)? The prototype of a beautiful answer is given by the Poincar e Conjecture. If n N is S, the n-dimensional sphere, and M is an arbitrary closed manifold, then n it is easy to decide whether M is homotopy equivalent to S . Thisisthecaseif and only if M is simply connected (assumingn> 1, the case n = 1 is trivial since 1 every closed connected 1-dimensional manifold is di?eomorphic toS ) and has the n homology of S . The PoincareConjecture states that this is also su?cient for the n existenceof ahomeomorphism fromM toS . For n = 2this followsfromthewe- known classi?cation of surfaces. Forn> 4 this was proved by Smale and Newman in the 1960s, Freedman solved the case in n = 4 in 1982 and recently Perelman announced a proof for n = 3, but this proof has still to be checked thoroughly by the experts. In the smooth category it is not true that manifolds homotopy n equivalent to S are di?eomorphic. The ?rst examples were published by Milnor in 1956 and together with Kervaire he analyzed the situation systematically in the 1960s."

General

Imprint: Birkhauser Verlag AG
Country of origin: Switzerland
Series: Oberwolfach Seminars, 33
Release date: November 2004
First published: 2005
Authors: Matthias Kreck • Wolfgang Luck
Dimensions: 254 x 178 x 15mm (L x W x T)
Format: Paperback
Pages: 266
Edition: 2005 ed.
ISBN-13: 978-3-7643-7141-8
Categories: Books > Science & Mathematics > Mathematics > Geometry > General
Promotions
LSN: 3-7643-7141-2
Barcode: 9783764371418

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Differential Geometry - Bundles…
Clifford Henry Taubes Hardcover R4,015 Discovery Miles 40 150
Sasakian Geometry
Charles Boyer, the late Krzysztof Galicki Hardcover R5,349 Discovery Miles 53 490
Michael Atiyah Collected Works - Volume…
Michael Atiyah Hardcover R9,656 Discovery Miles 96 560
Cyclic Modules and the Structure of…
S.K. Jain, Ashish K. Srivastava, … Hardcover R5,490 Discovery Miles 54 900
Michael Atiyah Collected works - Volume…
Michael Atiyah Hardcover R10,567 Discovery Miles 105 670
Michael Atiyah Collected Works - Volume…
Michael Atiyah Hardcover R9,042 Discovery Miles 90 420
Riemann Surfaces
Simon Donaldson Hardcover R4,199 Discovery Miles 41 990
Traces and Determinants of…
Simon Scott Hardcover R3,872 Discovery Miles 38 720
New Foundations for Physical Geometry…
Tim Maudlin Hardcover R3,395 Discovery Miles 33 950
Timber Circles in the East
Patrick Taylor Paperback R263 Discovery Miles 2 630
Elasticity and Geometry - From hair…
Basile Audoly, Yves Pomeau Hardcover R4,996 Discovery Miles 49 960
Trigonometry
Expologic LLC Fold-out book or chart R653 Discovery Miles 6 530

See more

Partners