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CHAPTER III. LATTICE PROPERTIES, CONVERGENCE AND MEASURABILITY

Edward J. McShane

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Order-Preserving Maps and Integration Processes

This chapter is in the book Order-Preserving Maps and Integration Processes

© 2016 Princeton University Press, Princeton

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© 2016 Princeton University Press, Princeton

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Chapters in this book

Frontmatter i
CONTENTS v
INTRODUCTION 1
CHAPTER I. PARTIALLY ORDERED SETS AND SYSTEMS 7
CHAPTER II. DEFINITION OF THE MAPPING 36
CHAPTER III. LATTICE PROPERTIES, CONVERGENCE AND MEASURABILITY 48
CHAPTER IV. ALGEBRAIC OPERATIONS 69
CHAPTER V. REAL-VALUED FUNCTIONS 81
CHAPTER VI. APPLICATIONS 95
BIBLIOGRAPHY 135
Backmatter 138

https://doi.org/10.1515/9781400882304-004

Chapters in this book

Frontmatter i
CONTENTS v
INTRODUCTION 1
CHAPTER I. PARTIALLY ORDERED SETS AND SYSTEMS 7
CHAPTER II. DEFINITION OF THE MAPPING 36
CHAPTER III. LATTICE PROPERTIES, CONVERGENCE AND MEASURABILITY 48
CHAPTER IV. ALGEBRAIC OPERATIONS 69
CHAPTER V. REAL-VALUED FUNCTIONS 81
CHAPTER VI. APPLICATIONS 95
BIBLIOGRAPHY 135
Backmatter 138

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