
Topological Groups An Introduction
by Markley, Nelson G.-
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Summary
Author Biography
Table of Contents
Preface | |
Groups and Metrics | |
Groups | |
Metric and Topological Spaces | |
Continuous Group Operations | |
Subgroups and Their Quotient Spaces | |
Compactness and Metric Groups | |
Linear Spaces and Algebras | |
Linear Structures on Groups | |
Linear Functions | |
Norms on Linear Spaces | |
Continuous Linear Functions | |
The Determinant Function | |
The Subgroups of Rn | |
Closed Subgroups | |
Quotient Groups | |
Dense Subgroups | |
Matrix Groups | |
General Linear Groups | |
Orthogonal and Unitary Groups | |
Triangular Groups | |
One-Parameter Subgroups | |
Connectedness of Topological Groups | |
Connected Topological Spaces | |
Connected Matrix Groups | |
Compact Product Spaces | |
Totally Disconnected Groups | |
Metric Groups of Functions | |
Real-Valued Functions | |
The Compact-Open Topology | |
Metric Groups of Isometries | |
Metric Groups of Homeomorphisms | |
Metric Groups of Homomorphisms | |
Compact Groups | |
Invariant Means | |
Integral Equations | |
Eigenfunctions | |
Compact Abelian Groups | |
Matrix Representations | |
Character Groups | |
Countable Discrete Abelian Groups | |
The Duality Homomorphism | |
Compactly Generated Abelian Groups | |
A Duality Theorem | |
Bibliography | |
Index of Special Symbols | |
Index | |
Table of Contents provided by Publisher. All Rights Reserved. |
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