Lecture(講演者): Carlos diPrisco |
Title(タイトル): Parametrized Partition Relations |
Level: Research lecture |
![](icon-qt.jpg) |
形式(format):
QuickTime(日本語) ,
QuickTime(English)
(Version 7 or later) |
Source: |
Abstract(内容):
We consider partitions relations defined on finite or
infinite products
of the Baire space.
A set A of infinite sets of natural numbers is Ramsey if there is an
infinite set X such that all of its infinite subsets are in A or
none of them is in A, in this case we say that X is homogeneous for A.
In Solovay's model all sets of reals (reals seen as infinite sets of
integers) are Ramsey. Moreover, if for each x in the Cantor space we have a
set of reals Ax, there is a perfect subset P of the Cantor space and an
infinite set X of natural numbers such that X is homogeneous for all Ax
with x in P. Stronger parametrized partition relations also hold in
Solovay's model.
|
Message from the speaker:
|
Keywords:
serial=0048, type=research lecture
License(ライセンス):
No modification and free distribution.
(creative commons, Attribution-NoDerivative works 2.1)
Details
Attachments (PDF)
Lecture video (講義映像)
If you watch movies by streaming on Windows, please do not stop it by the "x" button. Your network connection might become very slow.
Windows上で Streaming で閲覧している場合, 停止するときは, 停止ボタンを必ずおしてください. x で停止しないように. ネットワークの接続速度が極端に遅くなる場合があります.)
To save movies, click the right button.
(右クリックでダウンロード保存可能です.)
[111-3]
[111-4]
References and Links (参考文献およびリンク)
$Id$
|