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Lectures on Set Theoretic Topology
M. E. Rudin
A co-publication of the AMS and CBMS.
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CBMS Regional Conference Series in Mathematics
1975; 76 pp; softcover
Number: 23
Reprint/Revision History:
reprinted with corrections 1977; fourth printing 2001
ISBN-10: 0-8218-1673-X
ISBN-13: 978-0-8218-1673-8
List Price: US$23
Member Price: US$18.40
All Individuals: US$18.40
Order Code: CBMS/23
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This survey presents some recent results connecting set theory with the problems of general topology, primarily giving the applications of classical set theory in general topology and not considering problems involving large numbers. The lectures are completely self-contained--this is a good reference book on modern questions of general topology and can serve as an introduction to the applications of set theory and infinite combinatorics.

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"A good reference book on modern questions of general topology."

Table of Contents

  • Cardinal functions in topology
  • Ramification arguments and partition calculus
  • Souslin trees and Martin's axiom
  • Martin's axiom and normality
  • Hereditary separability and hereditary Lindelöfness
  • Gödel's constructible universe
  • Compactifications and \(\beta N\)
  • Metrization and Moore spaces
  • Normality of products
  • Box products
  • Problems
  • Bibliography
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