CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

First Countable Continua and Proper Forcing

  Published:2009-06-01
 Printed: Jun 2009
  • Joan E. Hart
  • Kenneth Kunen
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

Assuming the Continuum Hypothesis, there is a compact, first countable, connected space of weight $\aleph_1$ with no totally disconnected perfect subsets. Each such space, however, may be destroyed by some proper forcing order which does not add reals.
Keywords: connected space, Continuum Hypothesis, proper forcing, irreducible map connected space, Continuum Hypothesis, proper forcing, irreducible map
MSC Classifications: 54D05, 03E35 show english descriptions Connected and locally connected spaces (general aspects)
Consistency and independence results
54D05 - Connected and locally connected spaces (general aspects)
03E35 - Consistency and independence results
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/