Selectors

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Selectors / John E. Jayne and C. Ambrose Rogers

資料種別:

図書

出版情報:

Princeton, NJ : Princeton University Press, c2002

形態:

xiv, 167 p. ; 24 cm

著者名:

ISBN:

9780691096285 [0691096287]

書誌ID:

BA5832808X

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Includes bibliographical references and index

言語:

英語

目次情報:

Preface

Introduction

Classical results / Chapter 1：

Michael's Continuous Selection Theorem / 1.1：

Results of Kuratowski and Ryll-Nardzewski / 1.2：

Remarks / 1.3：

Functions that are constant on the sets of a disjoint discretely o-decomposable family of F s -sets / Chapter 2：

Discretely o-Decomposable Partitions of a Metric Space / 2.1：

Functions of the First Borel and Baire Classes / 2.2：

When is a Function of the First Borel Class also of the First Baire Class? / 2.3：

Selectors for upper semi-continuous functions with non-empty compact values / 2.4：

A General Theorem / 3.1：

Special Theorems / 3.2：

Minimal Upper Semi-continuous Set-valued Maps / 3.3：

Selectors for compact sets / 3.4：

A Sp ial Theorem / 4.1：

A Ge ral Theorem / 4.2：

Applications / 4.3：

Monotone Maps and Maximal Monotone Maps / 5.1：

Subdifferential Maps / 5.2：

Attainment Maps from X* to X / 5.3：

Attainment Maps from X to X* / 5.4：

Metric Projections or Nearest Point Maps / 5.5：

Some Selections into Families of Convex Sets / 5.6：

Example / 5.7：

Selectors for upper semi-continuous set-valued maps with nonempty values that are otherwise arbitrary / 5.8：

Diagonal Lemmas / 6.1：

Selection Theorems / 6.2：

A Selection Theorem for Lower Semi-continuous Set-valued Maps / 6.3：

Further applications / 6.4：

Duals of Asplund Spaces / 7.1tBoundary Lemmas：

A Partial Converse to Theorem 5.4 / 7.3：

Bibliography / 7.4：

Index

Preface

Introduction

Classical results / Chapter 1：

Michael's Continuous Selection Theorem / 1.1：

Results of Kuratowski and Ryll-Nardzewski / 1.2：

Remarks / 1.3：

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