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Topological groups : an introduction

Topological groups : an introduction (8회 대출)

자료유형
단행본
개인저자
Markley, Nelson Groh, 1940-.
서명 / 저자사항
Topological groups : an introduction / Nelson G. Markley.
발행사항
Hoboken, N.J. :   Wiley,   c2010.  
형태사항
xi, 367 p. : ill. ; 25 cm.
ISBN
9780470624517 (cloth) 0470624515 (cloth)
서지주기
Includes bibliographical references (p. 359-360) and indexes.
일반주제명
Topological groups.
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100 1 ▼a Markley, Nelson Groh, ▼d 1940-.
245 1 0 ▼a Topological groups : ▼b an introduction / ▼c Nelson G. Markley.
260 ▼a Hoboken, N.J. : ▼b Wiley, ▼c c2010.
300 ▼a xi, 367 p. : ▼b ill. ; ▼c 25 cm.
504 ▼a Includes bibliographical references (p. 359-360) and indexes.
650 0 ▼a Topological groups.
945 ▼a KLPA

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 512.55 M346t 등록번호 121216411 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

목차

Preface.

1 Groups and Metrics.

1.1 Groups.

1.2 Metric and Topological Spaces.

1.3 Continuous Group Operations.

1.4 Subgroups and Their Quotient Spaces.

1.5 Compactness and Metric Groups.

2 Linear Spaces and Algebras.

2.1 Linear Structures on Groups.

2.2 Linear Functions.

2.3 Norms on Linear Spaces.

2.4 Continuous Linear Functions.

2.5 The Determinant Function.

3 The Subgroups of Rn.

3.1 Closed Subgroups.

3.2 Quotient Groups.

3.3 Dense Subgroups.

4 Matrix Groups.

4.1 General Linear Groups.

4.2 Orthogonal and Unitary Groups.

4.3 Triangular Groups.

4.4 One-Parameter Subgroups.

5 Connectedness of Topological Groups.

5.1 Connected Topological Spaces.

5.2 Connected Matrix Groups.

5.3 Compact Product Spaces.

5.4 Totally Disconnected Groups.

6 Metric Groups of Functions.

6.1 Real-Valued Functions.

6.2 The Compact-Open Topology.

6.3 Metric Groups of Isometries.

6.4 Metric Groups of Homeomorphisms.

6.5 Metric Groups of Homomorphisms.

7 Compact Groups.

7.1 Invariant Means.

7.2 Integral Equations.

7.3 Eigenfunctions.

7.4 Compact Abelian Groups.

7.5 Matrix Representations.

8 Character Groups.

8.1 Countable Discrete Abelian Groups.

8.2 The Duality Homomorphism.

8.3 Compactly Generated Abelian Groups.

8.4 A Duality Theorem.

Bibliography.

Index of Special Symbols.

Index.


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