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Foundations of Point Set Theory
R. L. Moore

Colloquium Publications
1932; 419 pp; softcover
Volume: 13
Reprint/Revision History:
revised and enlarged 1962; reprinted with corrections 1970; seventh printing 2001
ISBN-10: 0-8218-1013-8
ISBN-13: 978-0-8218-1013-2
List Price: US$101
Member Price: US$80.80
Order Code: COLL/13
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"As it stands, the work as a whole can only be described as monumental.

"A whole generation of topologists has matured since this book first appeared ... The book is concerned mainly with three large and closely related sectors of point-set topology:the theory of continuous curves (locally connected, connected spaces), the topology of the plane and 2-sphere, and upper semi-continuous collections and decompositions. While the methods are elementary (in the technical sense) and, strictly speaking no knowledge of the literature is required or referred to, certainly some knowledge of general topology will be found helpful."

-- Mathematical Reviews

Table of Contents

  • Consequences of axioms 0 and 1
  • Consequences of axioms 0, 1 and 2
  • Consequences of axioms 0, 1, 2, 3 and 5
  • Consequences of axioms 0 and 1-5
  • Upper semi-continuous collections
  • Consequences of axioms \(0, 1, 2, 3, 4, 5_1, 5_2, 6\) and \(7\) Concerning topological equivalence and the introduction of distance
  • Appendix
  • Bibliography
  • Glossary
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