Totally disconnected compact sets in R2

  • Edwin E. Moise
Part of the Graduate Texts in Mathematics book series (GTM, volume 47)


The main purpose of this section is to show that every homeomorphism between two totally disconnected compact sets in R 2 can be extended so as to give a homeomorphism of R 2 onto itself.


Induction Hypothesis Break Line Small Neighborhood Boundary Component Unbounded Component 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1977

Authors and Affiliations

  • Edwin E. Moise
    • 1
  1. 1.Department of MathematicsQueens College, CUNYFlushingUSA

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