Recent progress about the continuum hypothesis

Patrick Dehornoy

Séminaire Bourbaki (2002-2003)

  • Volume: 45, page 147-172
  • ISSN: 0303-1179

Abstract

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Woodin’s recent work has considerably renewed set theory by restoring its unity and making the domain more globally intelligible. For the first time, his results open a realistic perspective to solve the Continuum Problem, and, at the very least, they show that the latter is an unquestionably meaningful and precise question.

How to cite

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Dehornoy, Patrick. "Progrès récents sur l’hypothèse du continu." Séminaire Bourbaki 45 (2002-2003): 147-172. <http://eudml.org/doc/252125>.

@article{Dehornoy2002-2003,
abstract = {Les travaux récents de Woodin ont considérablement renouvelé la théorie des ensembles en lui apportant une intelligibilité globale et en restaurant son unité. Pour la première fois, ses résultats ouvrent une perspective réaliste de résoudre le problème du continu, et, à tout le moins, ils établissent le caractère irréfutablement signifiant et précis de celui-ci.},
author = {Dehornoy, Patrick},
journal = {Séminaire Bourbaki},
keywords = {set theory; continuum hypothesis; forcing; large cardinal axiom},
language = {fre},
pages = {147-172},
publisher = {Association des amis de Nicolas Bourbaki, Société mathématique de France},
title = {Progrès récents sur l’hypothèse du continu},
url = {http://eudml.org/doc/252125},
volume = {45},
year = {2002-2003},
}

TY - JOUR
AU - Dehornoy, Patrick
TI - Progrès récents sur l’hypothèse du continu
JO - Séminaire Bourbaki
PY - 2002-2003
PB - Association des amis de Nicolas Bourbaki, Société mathématique de France
VL - 45
SP - 147
EP - 172
AB - Les travaux récents de Woodin ont considérablement renouvelé la théorie des ensembles en lui apportant une intelligibilité globale et en restaurant son unité. Pour la première fois, ses résultats ouvrent une perspective réaliste de résoudre le problème du continu, et, à tout le moins, ils établissent le caractère irréfutablement signifiant et précis de celui-ci.
LA - fre
KW - set theory; continuum hypothesis; forcing; large cardinal axiom
UR - http://eudml.org/doc/252125
ER -

References

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