**Surgery on Compact Manifolds**

by C.T.C. Wall, A. A. Ranicki

**Publisher**: American Mathematical Society 1999**ISBN/ASIN**: 0821809423**ISBN-13**: 9780821809426**Number of pages**: 314

**Description**:

This book represents an attempt to collect and systematize the methods and main applications of the method of surgery, insofar as compact (but not necessarily connected, simply connected or closed) manifolds are involved.

Download or read it online for free here:

**Download link**

(2.2MB, PDF)

## Similar books

**E 'Infinite' Ring Spaces and E 'Infinite' Ring Spectra**

by

**J. P. May**-

**Springer**

The theme of this book is infinite loop space theory and its multiplicative elaboration. The main goal is a complete analysis of the relationship between the classifying spaces of geometric topology and the infinite loop spaces of algebraic K-theory.

(

**6744**views)

**Surgical Methods in Rigidity**

by

**F.T. Farrell**-

**Springer**

This book is an introduction to the topological rigidity theorem for compact non-positively curved Riemannian manifolds. It contains a quick informal account of the background material from surgery theory and controlled topology prerequesite.

(

**2768**views)

**The Hauptvermutung Book: A Collection of Papers on the Topology of Manifolds**

by

**A.A. Ranicki, et al,**-

**Springer**

The Hauptvermutung is the conjecture that any two triangulations of a polyhedron are combinatorially equivalent. This conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology.

(

**4831**views)

**Lower K- and L-theory**

by

**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.

(

**4876**views)