Geodesic
First Countable Continua and Proper Forcing
Canadian journal of mathematics, Tome 61 (2009) no. 3, pp. 604-616

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CJM-2009-032-0
Mots-clés : 54D05, 03E35, connected space, Continuum Hypothesis, proper forcing, irreducible map 
Hart, Joan E.; Kunen, Kenneth. First Countable Continua and Proper Forcing. Canadian journal of mathematics, Tome 61 (2009) no. 3, pp. 604-616. doi: 10.4153/CJM-2009-032-0
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