Screen LibraryDimension and extensions /
Two types of seemingly unrelated extension problems are discussed in this book. Their common focus is a long-standing problem of Johannes de Groot, the main conjecture of which was recently resolved. As is true of many important conjectures, a wide range of mathematical investigations had developed,...
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| Main Authors: | |
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| Corporate Authors: | |
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| Published: |
North Holland,
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| Publisher Address: | Amsterdam ; New York : |
| Publication Dates: | 1993. |
| Literature type: | eBook |
| Language: | English |
| Series: |
North-Holland mathematical library ;
v. 48 |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/bookseries/09246509/48 |
| Summary: |
Two types of seemingly unrelated extension problems are discussed in this book. Their common focus is a long-standing problem of Johannes de Groot, the main conjecture of which was recently resolved. As is true of many important conjectures, a wide range of mathematical investigations had developed, which have been grouped into the two extension problems. The first concerns the extending of spaces, the second concerns extending the theory of dimension by replacing the empty space with other spaces. The problem of de Groot concerned compactifications of spaces by means of an adjunction of a s |
| Carrier Form: | 1 online resource (xii, 331 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 315-326) and index. |
| ISBN: |
9780080887616 0080887619 1281778966 9781281778963 |
| Index Number: | QA611 |
| CLC: | O189.11 |
| Contents: | Front Cover; Dimension and Extensions; Copyright Page; Preface; Contents; Chapter I. The separable case in historical perspective; Chart 1. The absolute Borel classes; Chapter II. Mappings into spheres; Chapter III. Functions of inductive dimensional type; Chapter IV. Functions of covering dimensional type; Chapter V. Functions of basic dimensional type; Chart 2. Compactness dimension functions; Chapter VI. Compactifications; Bibliography; List of symbols; Index. |