Geometric Topology: Localization, Periodicity and Galois Symmetry
by Dennis Sullivan
Publisher: Springer 2005
ISBN/ASIN: 140203511X
ISBN-13: 9781402035111
Number of pages: 296
Description:
In 1970, Sullivan circulated a set of notes introducing localization and completion of topological spaces to homotopy theory, and other important concepts that have had a major influence on the development of topology. The notes remain worth reading for the boldness of their ideas, the clear mastery of available structure they command, and the fresh picture they provide for geometric topology.
Download or read it online for free here:
Download link
(1.3MB, PDF)
Similar books
Lectures on Polyhedral Topologyby John R. Stallings - Tata Institute of Fundamental Research
These notes contain: The elementary theory of finite polyhedra in real vector spaces; A theory of 'general position' (approximation of maps), based on 'non-degeneracy'. A theory of 'regular neighbourhoods' in arbitrary polyhedra; etc.
(11269 views)
Lower K- and L-theoryby Andrew Ranicki - Cambridge University Press
This is the first treatment of the applications of the lower K- and L-groups to the topology of manifolds such as Euclidean spaces, via Whitehead torsion and the Wall finiteness and surgery obstructions. Only elementary constructions are used.
(11695 views)
Geometry of Surfacesby Nigel Hitchin
Geometry of Surfaces by Nigel Hitchin is a textbook on surfaces. However the author is also going to try and consider surfaces intrinsically, or abstractly, and not necessarily embedded in three-dimensional Euclidean space.
(16268 views)
A Primer on Mapping Class Groupsby Benson Farb, Dan Margalit - Princeton University Press
Our goal in this book is to explain as many important theorems, examples, and techniques as possible, as quickly and directly as possible, while at the same time giving (nearly) full details and keeping the text (nearly) selfcontained.
(13149 views)