Topological Methods in Group Theory

• Κύριος συγγραφέας: Geoghegan, Ross (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2008.
• Σειρά: Graduate Texts in Mathematics, 243
• Θέματα: Mathematics.; Group theory.; Topological groups.; Lie groups.; Topology.; Topological Groups, Lie Groups.; Group Theory and Generalizations.

Topological Methods in Group Theory is about the interplay between algebraic topology and the theory of infinite discrete groups. The author has kept three kinds of readers in mind: graduate students who have had an introductory course in algebraic topology and who need a bridge from common knowledg...

Πίνακας περιεχομένων:

• Algebraic Topology for Group Theory
• CW Complexes and Homotopy
• Cellular Homology
• Fundamental Group and Tietze Transformation
• Some Techniques in Homotopy Theory
• Elementary Geometric Topology
• Finiteness Properties of Groups
• The Borel Construction and Bass-Serre Theory
• Topological Finiteness Properties and Dimension of Groups
• Homological Finiteness Properties of Groups
• Finiteness Properties of Some Important Groups
• Locally Finite Algebraic Topology for Group Theory
• Locally Finite CW Complexes and Proper Homotopy
• Locally Finite Homology
• Cohomology of CW Complexes
• Topics in the Cohomology of Infinite Groups
• Cohomology of Groups and Ends of Covering Spaces
• Filtered Ends of Pairs of Groups
• Poincaré Duality in Manifolds and Groups
• Homotopical Group Theory
• The Fundamental Group At Infinity
• Higher homotopy theory of groups
• Three Essays
• Three Essays.