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Topological Methods in Group Theory

Ross Geoghegan
Publisher: 
Springer
Publication Date: 
2008
Number of Pages: 
473
Format: 
Hardcover
Series: 
Graduate Texts in Mathematics 243
Price: 
59.95
ISBN: 
978-0-387-74611-1
Category: 
Monograph
We do not plan to review this book.

Preface.- CW Complexes and Homotopy.- Cellular Homology.- Fundamental Group and Tietze Transformations.- Some Techniques In Homotopy Theory.- Elementary Geometric Topology.- The Borel Construction and Bass-Serre Theory.- Topological Finiteness Properties and Dimension of Groups.- Homological Finitenes Properties of Groups.- Finiteness Properties of Some Important Groups.- Locally Finite CW Complexes and Proper Homotopy.- Locally Finite Homology.- Cohomology of CW Complexes.- Cohomology of Groups and Ends of Covering Spaces.- Filtered Ends of Pairs of Groups.- Poincare Duality in Manifolds and Groups.- The Fundamental Group at Infinity.- Higher Homotopy Theory of Groups.- Three Essays.- References.- Index

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